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129193880454144 = 21032111274403019
BaseRepresentation
bin11101011000000001001011…
…010110100000010000000000
3121221102210222122212102000200
4131120001023112200100000
5113413203031344013034
61134434503242245200
736132643536501042
oct3530011326402000
9557383878772020
10129193880454144
113818a8a9491120
12125a67811b6800
135711c1384477c
1423c90351c9a92
15ee0968e07a99
hex75804b5a0400

129193880454144 has 132 divisors (see below), whose sum is σ = 406957665182640. Its totient is φ = 39149660712960.

The previous prime is 129193880454109. The next prime is 129193880454187. The reversal of 129193880454144 is 441454088391921.

129193880454144 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 9 + 3 + 8 + 80 + 4 + 541 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637100134 + ... + 637302885.

It is an arithmetic number, because the mean of its divisors is an integer number (3083012615020).

Almost surely, 2129193880454144 is an apocalyptic number.

It is an amenable number.

129193880454144 is an abundant number, since it is smaller than the sum of its proper divisors (277763784728496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129193880454144 is a wasteful number, since it uses less digits than its factorization.

129193880454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274403056 (or 1274403035 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 129193880454144 in words is "one hundred twenty-nine trillion, one hundred ninety-three billion, eight hundred eighty million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 1274403019 2548806038 3823209057 5097612076 7646418114 10195224152 11469627171 14018433209 15292836228 20390448304 22939254342 28036866418 30585672456 40780896608 42055299627 45878508684 56073732836 61171344912 81561793216 84110599254 91757017368 112147465672 122342689824 126165898881 163123586432 168221198508 183514034736 224294931344 244685379648 252331797762 326247172864 336442397016 367028069472 448589862688 489370759296 504663595524 652494345728 672884794032 734056138944 897179725376 978741518592 1009327191048 1304988691456 1345769588064 1468112277888 1794359450752 1957483037184 2018654382096 2691539176128 2936224555776 3588718901504 3914966074368 4037308764192 5383078352256 5872449111552 7177437803008 8074617528384 10766156704512 11744898223104 14354875606016 16149235056768 21532313409024 32298470113536 43064626818048 64596940227072 129193880454144