Search a number
-
+
157107030144 = 2734117095839
BaseRepresentation
bin1001001001010001001…
…1110000100010000000
3120000112001121001102020
42102110103300202000
510033223344431034
6200101324521440
714231154502521
oct2222423604200
9500461531366
10157107030144
11606a0906089
12265469b0280
1311a79abaa3c
14786560c848
1541479db249
hex24944f0880

157107030144 has 128 divisors (see below), whose sum is σ = 427817376000. Its totient is φ = 51053076480.

The previous prime is 157107030139. The next prime is 157107030161. The reversal of 157107030144 is 441030701751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 26903577 + ... + 26909415.

It is an arithmetic number, because the mean of its divisors is an integer number (3342323250).

Almost surely, 2157107030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157107030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213908688000).

157107030144 is an abundant number, since it is smaller than the sum of its proper divisors (270710345856).

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

157107030144 is a wasteful number, since it uses less digits than its factorization.

157107030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 157107030144 its reverse (441030701751), we get a palindrome (598137731895).

The spelling of 157107030144 in words is "one hundred fifty-seven billion, one hundred seven million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1709 1968 2624 3418 3936 5127 5248 5839 6836 7872 10254 11678 13672 15744 17517 20508 23356 27344 35034 41016 46712 54688 70068 70069 82032 93424 109376 140136 140138 164064 186848 210207 218752 239399 280272 280276 328128 373696 420414 478798 560544 560552 656256 718197 747392 840828 957596 1121088 1121104 1436394 1681656 1915192 2242176 2242208 2872788 3363312 3830384 4484416 5745576 6726624 7660768 8968832 9978851 11491152 13453248 15321536 19957702 22982304 26906496 29936553 30643072 39915404 45964608 59873106 79830808 91929216 119746212 159661616 239492424 319323232 409132891 478984848 638646464 818265782 957969696 1227398673 1277292928 1636531564 1915939392 2454797346 3273063128 3831878784 4909594692 6546126256 9819189384 13092252512 19638378768 26184505024 39276757536 52369010048 78553515072 157107030144