Search a number
-
+
114162352444601 = 3179106943919931
BaseRepresentation
bin11001111101010001111110…
…011101101101010010111001
3112222012210222122000012100222
4121331101332131231102321
5104430413444211211401
61042445243302105425
733021646342526156
oct3175217635552271
9488183878005328
10114162352444601
1133414a8882640a
1210979518a1b275
134b91604811956
1420296b739522d
15d2e95893ac1b
hex67d47e76d4b9

114162352444601 has 32 divisors (see below), whose sum is σ = 119487585484800. Its totient is φ = 108943388424000.

The previous prime is 114162352444573. The next prime is 114162352444603. The reversal of 114162352444601 is 106444253261411.

It is a cyclic number.

It is not a de Polignac number, because 114162352444601 - 26 = 114162352444537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114162352444603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11495549606 + ... + 11495559536.

It is an arithmetic number, because the mean of its divisors is an integer number (3733987046400).

Almost surely, 2114162352444601 is an apocalyptic number.

It is an amenable number.

114162352444601 is a deficient number, since it is larger than the sum of its proper divisors (5325233040199).

114162352444601 is a wasteful number, since it uses less digits than its factorization.

114162352444601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501.

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 114162352444601 in words is "one hundred fourteen trillion, one hundred sixty-two billion, three hundred fifty-two million, four hundred forty-four thousand, six hundred one".

Divisors: 1 31 79 1069 2449 4391 9931 33139 84451 136121 307861 346889 784549 2617981 4693979 10616239 10753559 24321019 43607021 145513349 329103409 370824341 838682881 1351817651 3444954659 11495554571 25999169311 46615905449 106793594429 1445093068919 3682656530471 114162352444601