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140150000864 = 2541472937757
BaseRepresentation
bin1000001010000110010…
…1110100110011100000
3111101202021221201020202
42002201211310303200
54244011400011424
6144214540524332
713061022231416
oct2024145646340
9441667851222
10140150000864
115448a026aa5
12231b3b506a8
13102a69913c3
146ad75172b6
1539a3ea12ae
hex20a1974ce0

140150000864 has 96 divisors (see below), whose sum is σ = 289686450816. Its totient is φ = 66674298880.

The previous prime is 140150000843. The next prime is 140150000873. The reversal of 140150000864 is 468000051041.

It is a congruent number.

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, 18063674 + ... + 18071430.

It is an arithmetic number, because the mean of its divisors is an integer number (3017567196).

Almost surely, 2140150000864 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 140150000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144843225408).

140150000864 is an abundant number, since it is smaller than the sum of its proper divisors (149536449952).

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

140150000864 is a wasteful number, since it uses less digits than its factorization.

140150000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 140150000864 in words is "one hundred forty billion, one hundred fifty million, eight hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 41 47 82 94 164 188 293 328 376 586 656 752 1172 1312 1504 1927 2344 3854 4688 7708 7757 9376 12013 13771 15416 15514 24026 27542 30832 31028 48052 55084 61664 62056 96104 110168 124112 192208 220336 248224 318037 364579 384416 440672 564611 636074 729158 1129222 1272148 1458316 2258444 2272801 2544296 2916632 4516888 4545602 5088592 5833264 9033776 9091204 10177184 11666528 14947739 18067552 18182408 29895478 36364816 59790956 72729632 93184841 106821647 119581912 186369682 213643294 239163824 372739364 427286588 478327648 745478728 854573176 1490957456 1709146352 2981914912 3418292704 4379687527 8759375054 17518750108 35037500216 70075000432 140150000864