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10145410642321 = 177330772736629
BaseRepresentation
bin1001001110100010100110…
…0110001111000110010001
31022220220002010000020111121
42103220221212033012101
52312210300111023241
633324423131442241
72064660506406103
oct223505146170621
938826063006447
1010145410642321
11326170a8a9889
12117a2b95b6381
13587928975706
1427107d193573
15128d8ab82ad1
hex93a2998f191

10145410642321 has 32 divisors (see below), whose sum is σ = 10940149059840. Its totient is φ = 9373973723136.

The previous prime is 10145410642193. The next prime is 10145410642343. The reversal of 10145410642321 is 12324601454101.

It is a happy number.

It is not a de Polignac number, because 10145410642321 - 27 = 10145410642193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145410646321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276959235 + ... + 276995863.

It is an arithmetic number, because the mean of its divisors is an integer number (341879658120).

Almost surely, 210145410642321 is an apocalyptic number.

It is an amenable number.

10145410642321 is a deficient number, since it is larger than the sum of its proper divisors (794738417519).

10145410642321 is a wasteful number, since it uses less digits than its factorization.

10145410642321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37753.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10145410642321 in words is "ten trillion, one hundred forty-five billion, four hundred ten million, six hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 17 73 307 727 1241 5219 12359 22411 36629 53071 223189 380987 622693 902207 2673917 3794213 11245103 16292797 26629283 45456589 191166751 276977549 452697811 820892519 1943937659 8175189881 13955172823 33046940203 138978227977 596788861313 10145410642321