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10042014520251 = 3371074091214093
BaseRepresentation
bin1001001000100001011010…
…1101010101001110111011
31022120000012020222000121000
42102020112231111032323
52304012021204122001
633205123210020043
72054340324024060
oct222102655251673
938500166860530
1010042014520251
113221881446a2a
121162262417623
1357ac5b69a2ac
1426a071094c67
15126338709a86
hex92216b553bb

10042014520251 has 64 divisors (see below), whose sum is σ = 17203226342400. Its totient is φ = 5670761488128.

The previous prime is 10042014520249. The next prime is 10042014520271. The reversal of 10042014520251 is 15202541024001.

It is a happy number.

10042014520251 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 201 + 452 + 0 + 2 + 5 + 1 = 666.

10042014520251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042014520251 - 21 = 10042014520249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10042014520201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7664161 + ... + 8878253.

It is an arithmetic number, because the mean of its divisors is an integer number (268800411600).

Almost surely, 210042014520251 is an apocalyptic number.

10042014520251 is a deficient number, since it is larger than the sum of its proper divisors (7161211822149).

10042014520251 is a wasteful number, since it uses less digits than its factorization.

10042014520251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214625 (or 1214619 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10042014520251 its reverse (15202541024001), we get a palindrome (25244555544252).

The spelling of 10042014520251 in words is "ten trillion, forty-two billion, fourteen million, five hundred twenty thousand, two hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 107 189 321 409 749 963 1227 2247 2863 2889 3681 6741 8589 11043 20223 25767 43763 77301 131289 306341 393867 919023 1181601 1214093 2757069 3642279 8271207 8498651 10926837 25495953 32780511 76487859 129907951 229463577 389723853 496564037 909355657 1169171559 1489692111 2728066971 3475948259 3507514677 4469076333 8184200913 10427844777 13407228999 24552602739 31283534331 53132351959 93850602993 159397055877 371926463713 478191167631 1115779391139 1434573502893 3347338173417 10042014520251