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1136251431414 = 23211211130720809
BaseRepresentation
bin10000100010001101110…
…111001110100111110110
311000121212022112021211200
4100202031313032213312
5122104020331301124
62225553043313330
7145043240544651
oct20421567164766
94017768467750
101136251431414
113a8977346a70
1216426837b846
13831c03601c8
143cdcdc90898
151e85332abc9
hex1088ddce9f6

1136251431414 has 96 divisors (see below), whose sum is σ = 2700607927680. Its totient is φ = 342408124800.

The previous prime is 1136251431397. The next prime is 1136251431457. The reversal of 1136251431414 is 4141341526311.

1136251431414 is a `hidden beast` number, since 1 + 1 + 3 + 625 + 1 + 4 + 3 + 14 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54593442 + ... + 54614250.

It is an arithmetic number, because the mean of its divisors is an integer number (28131332580).

Almost surely, 21136251431414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136251431414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350303963840).

1136251431414 is an abundant number, since it is smaller than the sum of its proper divisors (1564356496266).

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

1136251431414 is a wasteful number, since it uses less digits than its factorization.

1136251431414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22346 (or 22343 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 1136251431414 its reverse (4141341526311), we get a palindrome (5277592957725).

The spelling of 1136251431414 in words is "one trillion, one hundred thirty-six billion, two hundred fifty-one million, four hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 1266 1307 1899 2321 2614 3798 3921 4642 6963 7842 11763 13926 14377 20809 20889 23526 28754 41618 41778 43131 62427 86262 124854 129393 187281 228899 258786 275777 374562 457798 551554 686697 827331 1373394 1654662 2060091 2481993 3033547 4120182 4390699 4963986 6067094 8781398 9100641 13172097 18201282 26344194 27197363 27301923 39516291 48297689 54394726 54603846 79032582 81592089 96595378 144893067 163184178 244776267 289786134 299170993 434679201 489552534 598341986 869358402 897512979 1795025958 2692538937 5385077874 5738643593 11477287186 17215930779 34431861558 51647792337 63125079523 103295584674 126250159046 189375238569 378750477138 568125715707 1136251431414