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140494434400 = 25525921114107
BaseRepresentation
bin1000001011011000011…
…1101111000001100000
3111102122022001202020101
42002312013233001200
54300213033400100
6144313043152144
713102403663005
oct2026607570140
9442568052211
10140494434400
115464649a011
122328b375654
1310330148a28
146b2b1758ac
1539c433a86a
hex20b61ef060

140494434400 has 144 divisors (see below), whose sum is σ = 350473193280. Its totient is φ = 54979545600.

The previous prime is 140494434397. The next prime is 140494434481. The reversal of 140494434400 is 4434494041.

140494434400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 140494434400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9952147 + ... + 9966253.

It is an arithmetic number, because the mean of its divisors is an integer number (2433841620).

Almost surely, 2140494434400 is an apocalyptic number.

140494434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140494434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175236596640).

140494434400 is an abundant number, since it is smaller than the sum of its proper divisors (209978758880).

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

140494434400 is a wasteful number, since it uses less digits than its factorization.

140494434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14397 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 140494434400 in words is "one hundred forty billion, four hundred ninety-four million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 211 236 295 400 422 472 590 800 844 944 1055 1180 1475 1688 1888 2110 2360 2950 3376 4220 4720 5275 5900 6752 8440 9440 10550 11800 12449 14107 16880 21100 23600 24898 28214 33760 42200 47200 49796 56428 62245 70535 84400 99592 112856 124490 141070 168800 199184 225712 248980 282140 311225 352675 398368 451424 497960 564280 622450 705350 832313 995920 1128560 1244900 1410700 1664626 1991840 2257120 2489800 2821400 2976577 3329252 4161565 4979600 5642800 5953154 6658504 8323130 9959200 11285600 11906308 13317008 14882885 16646260 20807825 23812616 26634016 29765770 33292520 41615650 47625232 59531540 66585040 74414425 83231300 95250464 119063080 133170080 148828850 166462600 175618043 238126160 297657700 332925200 351236086 476252320 595315400 665850400 702472172 878090215 1190630800 1404944344 1756180430 2381261600 2809888688 3512360860 4390451075 5619777376 7024721720 8780902150 14049443440 17561804300 28098886880 35123608600 70247217200 140494434400