Search a number
-
+
10140055366220 = 22513971867215353
BaseRepresentation
bin1001001110001110101001…
…1001011110101001001100
31022220101020220010000202022
42103203222121132221030
52312113313133204340
633322135505345312
72064411011331203
oct223435231365114
938811226100668
1010140055366220
11325a4119a366a
121179264038238
135872843342a0
14270ad1c5023a
15128b7594e3b5
hex938ea65ea4c

10140055366220 has 96 divisors (see below), whose sum is σ = 23181056017728. Its totient is φ = 3703420403712.

The previous prime is 10140055366211. The next prime is 10140055366237. The reversal of 10140055366220 is 2266355004101.

10140055366220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 46978064 + ... + 47193416.

It is an arithmetic number, because the mean of its divisors is an integer number (241469333518).

Almost surely, 210140055366220 is an apocalyptic number.

10140055366220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140055366220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11590528008864).

10140055366220 is an abundant number, since it is smaller than the sum of its proper divisors (13041000651508).

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

10140055366220 is a wasteful number, since it uses less digits than its factorization.

10140055366220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217339 (or 217337 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 10140055366220 in words is "ten trillion, one hundred forty billion, fifty-five million, three hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1867 1940 2522 3734 5044 6305 7468 9335 12610 18670 24271 25220 37340 48542 97084 121355 181099 215353 242710 362198 430706 485420 724396 861412 905495 1076765 1810990 2153530 2354287 2799589 3621980 4307060 4708574 5599178 9417148 11198356 11771435 13997945 20889241 23542870 27995890 41778482 47085740 55991780 83556964 104446205 208892410 271560133 402064051 417784820 543120266 804128102 1086240532 1357800665 1608256204 2010320255 2715601330 4020640510 5226832663 5431202660 8041281020 10453665326 20907330652 26134163315 39000212947 52268326630 78000425894 104536653260 156000851788 195001064735 390002129470 507002768311 780004258940 1014005536622 2028011073244 2535013841555 5070027683110 10140055366220