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30140325504 = 27343778569
BaseRepresentation
bin11100000100100000…
…001101111010000000
32212210112100011210000
4130010200031322000
5443211410404004
621502443440000
72114622353052
oct340440157200
985715304700
1030140325504
1111867478723
125a11b26000
132ac4487643
14165cd358d2
15bb60e6c39
hex70480de80

30140325504 has 160 divisors (see below), whose sum is σ = 92122539300. Its totient is φ = 9775116288.

The previous prime is 30140325493. The next prime is 30140325521. The reversal of 30140325504 is 40552304103.

30140325504 is a `hidden beast` number, since 3 + 0 + 1 + 403 + 255 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21257640000 + 8882685504 = 145800^2 + 94248^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 344332 + ... + 422900.

Almost surely, 230140325504 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 30140325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061269650).

30140325504 is an abundant number, since it is smaller than the sum of its proper divisors (61982213796).

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

30140325504 is an equidigital number, since it uses as much as digits as its factorization.

30140325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78632 (or 78611 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 30140325504 its reverse (40552304103), we get a palindrome (70692629607).

The spelling of 30140325504 in words is "thirty billion, one hundred forty million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3456 3552 3996 4736 5184 5328 5994 7104 7992 10368 10656 11988 14208 15984 21312 23976 31968 42624 47952 63936 78569 95904 127872 157138 191808 235707 314276 383616 471414 628552 707121 942828 1257104 1414242 1885656 2121363 2514208 2828484 2907053 3771312 4242726 5028416 5656968 5814106 6364089 7542624 8485452 8721159 10056832 11313936 11628212 12728178 15085248 16970904 17442318 22627872 23256424 25456356 26163477 30170496 33941808 34884636 45255744 46512848 50912712 52326954 67883616 69769272 78490431 90511488 93025696 101825424 104653908 135767232 139538544 156980862 186051392 203650848 209307816 235471293 271534464 279077088 313961724 372102784 407301696 418615632 470942586 558154176 627923448 814603392 837231264 941885172 1116308352 1255846896 1674462528 1883770344 2511693792 3348925056 3767540688 5023387584 7535081376 10046775168 15070162752 30140325504