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140230432140032 = 2813322913049411
BaseRepresentation
bin11111111000100111110001…
…000110000010101100000000
3200101111220020220222010011002
4133320213301012002230000
5121340013411111440112
61214124545435311132
741352212556124313
oct3770476106025400
9611456226863132
10140230432140032
11407554351636a3
121388971bbab4a8
1360328997aa310
14268b290d8697a
151132aae49b1c2
hex7f89f1182b00

140230432140032 has 72 divisors (see below), whose sum is σ = 301538243837040. Its totient is φ = 64701689057280.

The previous prime is 140230432140013. The next prime is 140230432140061. The reversal of 140230432140032 is 230041234032041.

It is a super-2 number, since 2×1402304321400322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140230432139977 and 140230432140004.

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, 4221407 + ... + 17270817.

Almost surely, 2140230432140032 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 140230432140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150769121918520).

140230432140032 is an abundant number, since it is smaller than the sum of its proper divisors (161307811697008).

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

140230432140032 is a wasteful number, since it uses less digits than its factorization.

140230432140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052669 (or 13052655 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 140230432140032 its reverse (230041234032041), we get a palindrome (370271666172073).

The spelling of 140230432140032 in words is "one hundred forty trillion, two hundred thirty billion, four hundred thirty-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3229 3328 6458 12916 25832 41977 51664 83954 103328 167908 206656 335816 413312 671632 826624 1343264 2686528 5373056 10746112 13049411 26098822 52197644 104395288 169642343 208790576 339284686 417581152 678569372 835162304 1357138744 1670324608 2714277488 3340649216 5428554976 10857109952 21714219904 42136548119 43428439808 84273096238 168546192476 337092384952 547775125547 674184769904 1095550251094 1348369539808 2191100502188 2696739079616 4382201004376 5393478159232 8764402008752 10786956318464 17528804017504 35057608035008 70115216070016 140230432140032