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141872740434 = 2353110788007
BaseRepresentation
bin1000010000100001000…
…1100011100001010010
3111120012100120221200000
42010020101203201102
54311023410143214
6145101521110430
713151511252645
oct2041021434122
9446170527600
10141872740434
1155193510807
12235b4a88416
13104bc870029
146c1c23ba5c
153a55347809
hex2108463852

141872740434 has 96 divisors (see below), whose sum is σ = 332137967616. Its totient is φ = 45337170960.

The previous prime is 141872740417. The next prime is 141872740453. The reversal of 141872740434 is 434047278141.

141872740434 is a `hidden beast` number, since 14 + 187 + 27 + 4 + 0 + 434 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141872740434.

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, 1568059 + ... + 1656065.

It is an arithmetic number, because the mean of its divisors is an integer number (3459770496).

Almost surely, 2141872740434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141872740434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166068983808).

141872740434 is an abundant number, since it is smaller than the sum of its proper divisors (190265227182).

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

141872740434 is a wasteful number, since it uses less digits than its factorization.

141872740434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88162 (or 88150 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 141872740434 in words is "one hundred forty-one billion, eight hundred seventy-two million, seven hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 107 162 186 214 243 279 321 486 558 642 837 963 1674 1926 2511 2889 3317 5022 5778 6634 7533 8667 9951 15066 17334 19902 26001 29853 52002 59706 88007 89559 176014 179118 264021 268677 528042 537354 792063 806031 1584126 1612062 2376189 2728217 4752378 5456434 7128567 8184651 9416749 14257134 16369302 18833498 21385701 24553953 28250247 42771402 49107906 56500494 73661859 84750741 147323718 169501482 220985577 254252223 291919219 441971154 508504446 583838438 662956731 762756669 875757657 1325913462 1525513338 1751515314 2288270007 2627272971 4576540014 5254545942 7881818913 15763637826 23645456739 47290913478 70936370217 141872740434