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130111042432 = 277607239231
BaseRepresentation
bin111100100101100111…
…0001111001110000000
3110102211122212210012111
41321023032033032000
54112431411324212
6135434443105104
712254162420140
oct1711316171600
9412748783174
10130111042432
11501a8322a38
1221271b12194
13c366bb3507
146424132920
1535b7999ea7
hex1e4b38f380

130111042432 has 64 divisors (see below), whose sum is σ = 296724234240. Its totient is φ = 55669777920.

The previous prime is 130111042429. The next prime is 130111042463. The reversal of 130111042432 is 234240111031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424257 + ... + 663487.

It is an arithmetic number, because the mean of its divisors is an integer number (4636316160).

Almost surely, 2130111042432 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 130111042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148362117120).

130111042432 is an abundant number, since it is smaller than the sum of its proper divisors (166613191808).

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

130111042432 is an equidigital number, since it uses as much as digits as its factorization.

130111042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239859 (or 239847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 130111042432 its reverse (234240111031), we get a palindrome (364351153463).

The spelling of 130111042432 in words is "one hundred thirty billion, one hundred eleven million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 607 896 1214 2428 4249 4856 8498 9712 16996 19424 33992 38848 67984 77696 135968 239231 271936 478462 543872 956924 1674617 1913848 3349234 3827696 6698468 7655392 13396936 15310784 26793872 30621568 53587744 107175488 145213217 214350976 290426434 580852868 1016492519 1161705736 2032985038 2323411472 4065970076 4646822944 8131940152 9293645888 16263880304 18587291776 32527760608 65055521216 130111042432