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5151535000440 = 23351071273159133
BaseRepresentation
bin100101011110110111101…
…1010011110101101111000
3200020111000022221202000220
41022331233122132231320
51133400320430003230
614542325453300040
71041120561004263
oct112755732365570
920214008852026
105151535000440
111706832231214
126b249a794620
132b4a3166b9ba
1413b49ad4bcda
158e00ae60d10
hex4af6f69eb78

5151535000440 has 128 divisors (see below), whose sum is σ = 15721872629760. Its totient is φ = 1350187743744.

The previous prime is 5151535000433. The next prime is 5151535000471. The reversal of 5151535000440 is 440005351515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51114 + ... + 3210246.

It is an arithmetic number, because the mean of its divisors is an integer number (122827129920).

Almost surely, 25151535000440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151535000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860936314880).

5151535000440 is an abundant number, since it is smaller than the sum of its proper divisors (10570337629320).

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

5151535000440 is a wasteful number, since it uses less digits than its factorization.

5151535000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159381 (or 3159377 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 5151535000440 in words is "five trillion, one hundred fifty-one billion, five hundred thirty-five million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 127 214 254 321 381 428 508 535 635 642 762 856 1016 1070 1270 1284 1524 1605 1905 2140 2540 2568 3048 3210 3810 4280 5080 6420 7620 12840 13589 15240 27178 40767 54356 67945 81534 108712 135890 163068 203835 271780 326136 407670 543560 815340 1630680 3159133 6318266 9477399 12636532 15795665 18954798 25273064 31591330 37909596 47386995 63182660 75819192 94773990 126365320 189547980 338027231 379095960 401209891 676054462 802419782 1014081693 1203629673 1352108924 1604839564 1690136155 2006049455 2028163386 2407259346 2704217848 3209679128 3380272310 4012098910 4056326772 4814518692 5070408465 6018148365 6760544620 8024197820 8112653544 9629037384 10140816930 12036296730 13521089240 16048395640 20281633860 24072593460 40563267720 42929458337 48145186920 85858916674 128788375011 171717833348 214647291685 257576750022 343435666696 429294583370 515153500044 643941875055 858589166740 1030307000088 1287883750110 1717178333480 2575767500220 5151535000440