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15134244243151 = 1146346761710313
BaseRepresentation
bin1101110000111011011101…
…0000001000011011001111
31222120211010111120111221011
43130032313100020123033
53440424413011240101
652104324213350051
73121261452344515
oct334166720103317
958524114514834
1015134244243151
114905440365380
12184514b938327
1385a1cb4c0c97
143a47039124b5
151b3a22de6751
hexdc3b74086cf

15134244243151 has 32 divisors (see below), whose sum is σ = 16609657678848. Its totient is φ = 13675761200640.

The previous prime is 15134244243127. The next prime is 15134244243227.

15134244243151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 15134244243151 - 237 = 14996805289679 is a prime.

It is a super-2 number, since 2×151342442431512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15134244243451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467486771 + ... + 1467497083.

It is an arithmetic number, because the mean of its divisors is an integer number (519051802464).

Almost surely, 215134244243151 is an apocalyptic number.

15134244243151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15134244243151 is a deficient number, since it is larger than the sum of its proper divisors (1475413435697).

15134244243151 is a wasteful number, since it uses less digits than its factorization.

15134244243151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 1513424 and 4243151, that added together give a palindrome (5756575).

The spelling of 15134244243151 in words is "fifteen trillion, one hundred thirty-four billion, two hundred forty-four million, two hundred forty-three thousand, one hundred fifty-one".

Divisors: 1 11 463 467 617 5093 5137 6787 10313 113443 216221 285671 288139 2378431 3142381 3169529 4774919 4816171 6363121 52524109 52977881 69994331 133408357 1467491927 2229887173 2946125023 2971577507 24528758903 32407375253 32687352577 1375840385741 15134244243151