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10034771147144 = 23411091132483869
BaseRepresentation
bin1001001000000110011011…
…1110000011100110001000
31022112022111110021112122222
42102001212332003212020
52303402202403202034
633201524335233212
72053662661253162
oct222014676034610
938468443245588
1010034771147144
1132197a4785567
121160980678808
1357a375b320c3
142699850a5932
1512606286a12e
hex92066f83988

10034771147144 has 64 divisors (see below), whose sum is σ = 19623069774000. Its totient is φ = 4807178772480.

The previous prime is 10034771147129. The next prime is 10034771147171. The reversal of 10034771147144 is 44174117743001.

It can be written as a sum of positive squares in 8 ways, for example, as 611946352900 + 9422824794244 = 782270^2 + 3069662^2 .

It is a super-3 number, since 3×100347711471443 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10034771147095 and 10034771147104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2798042 + ... + 5281910.

Almost surely, 210034771147144 is an apocalyptic number.

It is an amenable number.

10034771147144 is a deficient number, since it is larger than the sum of its proper divisors (9588298626856).

10034771147144 is a wasteful number, since it uses less digits than its factorization.

10034771147144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484138 (or 2484134 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 10034771147144 in words is "ten trillion, thirty-four billion, seven hundred seventy-one million, one hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 41 82 109 113 164 218 226 328 436 452 872 904 4469 4633 8938 9266 12317 17876 18532 24634 35752 37064 49268 98536 504997 1009994 2019988 2483869 4039976 4967738 9935476 19870952 101838629 203677258 270741721 280677197 407354516 541483442 561354394 814709032 1082966884 1122708788 2165933768 2245417576 11100410561 11507765077 22200821122 23015530154 30593814473 44401642244 46031060308 61187628946 88803284488 92062120616 122375257892 244750515784 1254346393393 2508692786786 5017385573572 10034771147144