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1138034748114 = 2321153691156941
BaseRepresentation
bin10000100011111000001…
…010000010101011010010
311000210110121011011110100
4100203320022002223102
5122121143343414424
62230450030113230
7145135363516005
oct20437012025322
94023417134410
101138034748114
113a9701a46220
1216468564b816
138341595b6a4
143d11ca6353c
151e909b8adc9
hex108f8282ad2

1138034748114 has 96 divisors (see below), whose sum is σ = 2744636851008. Its totient is φ = 337860432000.

The previous prime is 1138034748089. The next prime is 1138034748119. The reversal of 1138034748114 is 4118474308311.

1138034748114 is a `hidden beast` number, since 1 + 13 + 80 + 3 + 474 + 81 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1138034748114.

It is not an unprimeable number, because it can be changed into a prime (1138034748119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7172884 + ... + 7329824.

It is an arithmetic number, because the mean of its divisors is an integer number (28589967198).

Almost surely, 21138034748114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138034748114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372318425504).

1138034748114 is an abundant number, since it is smaller than the sum of its proper divisors (1606602102894).

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

1138034748114 is a wasteful number, since it uses less digits than its factorization.

1138034748114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157704 (or 157701 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1138034748114 in words is "one trillion, one hundred thirty-eight billion, thirty-four million, seven hundred forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 691 954 1166 1382 1749 2073 3498 4146 5247 6219 7601 10494 12438 15202 22803 36623 45606 68409 73246 109869 136818 156941 219738 313882 329607 402853 470823 659214 805706 941646 1208559 1412469 1726351 2417118 2824938 3452702 3625677 5179053 7251354 8317873 10358106 15537159 16635746 24953619 31074318 49907238 74860857 91496603 108446231 149721714 182993206 216892462 274489809 325338693 548979618 650677386 823469427 976016079 1192908541 1646938854 1952032158 2385817082 3578725623 5747650243 7157451246 10736176869 11495300486 17242950729 21472353738 34485901458 51728852187 63224152673 103457704374 126448305346 189672458019 379344916038 569017374057 1138034748114