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15401214223040 = 2651031912446439
BaseRepresentation
bin1110000000011101111111…
…1001110010001011000000
32000112100020002200200010002
43200013133321302023000
54004313141320114130
652431115314455132
73146462305624352
oct340073771621300
960470202620102
1015401214223040
1149a8688a13698
121888a375944a8
13879436292099
143b35cc02b0d2
151ba94a957b45
hexe01dfe722c0

15401214223040 has 112 divisors (see below), whose sum is σ = 37224091607040. Its totient is φ = 6068731960320.

The previous prime is 15401214223009. The next prime is 15401214223061. The reversal of 15401214223040 is 4032241210451.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 15401214222994 and 15401214223012.

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, 5072141 + ... + 7518579.

Almost surely, 215401214223040 is an apocalyptic number.

15401214223040 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 15401214223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612045803520).

15401214223040 is an abundant number, since it is smaller than the sum of its proper divisors (21822877384000).

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

15401214223040 is a wasteful number, since it uses less digits than its factorization.

15401214223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446750 (or 2446740 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 15401214223040 its reverse (4032241210451), we get a palindrome (19433455433491).

The spelling of 15401214223040 in words is "fifteen trillion, four hundred one billion, two hundred fourteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 191 206 320 382 412 515 764 824 955 1030 1528 1648 1910 2060 3056 3296 3820 4120 6112 6592 7640 8240 12224 15280 16480 19673 30560 32960 39346 61120 78692 98365 157384 196730 314768 393460 629536 786920 1259072 1573840 2446439 3147680 4892878 6295360 9785756 12232195 19571512 24464390 39143024 48928780 78286048 97857560 156572096 195715120 251983217 391430240 467269849 503966434 782860480 934539698 1007932868 1259916085 1869079396 2015865736 2336349245 2519832170 3738158792 4031731472 4672698490 5039664340 7476317584 8063462944 9345396980 10079328680 14952635168 16126925888 18690793960 20158657360 29905270336 37381587920 40317314720 48128794447 74763175840 80634629440 96257588894 149526351680 192515177788 240643972235 385030355576 481287944470 770060711152 962575888940 1540121422304 1925151777880 3080242844608 3850303555760 7700607111520 15401214223040