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13400400143232 = 273323168583939
BaseRepresentation
bin1100001100000000011000…
…0101110010001110000000
31202110001202221000021121000
43003000012011302032000
53224023004414040412
644300020413132000
72552101256561634
oct303000605621600
952401687007530
1013400400143232
1142a7094595683
121605106a8a000
137628631882ab
143448233c8dc4
151838962714dc
hexc3006172380

13400400143232 has 128 divisors (see below), whose sum is σ = 41269348512000. Its totient is φ = 4272591324672.

The previous prime is 13400400143189. The next prime is 13400400143237. The reversal of 13400400143232 is 23234100400431.

13400400143232 is a `hidden beast` number, since 13 + 4 + 0 + 0 + 400 + 14 + 3 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×134004001432322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13400400143196 and 13400400143205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400400143237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84212482 + ... + 84371457.

It is an arithmetic number, because the mean of its divisors is an integer number (322416785250).

Almost surely, 213400400143232 is an apocalyptic number.

13400400143232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13400400143232 is an abundant number, since it is smaller than the sum of its proper divisors (27868948368768).

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

13400400143232 is a wasteful number, since it uses less digits than its factorization.

13400400143232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168583985 (or 168583967 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13400400143232 its reverse (23234100400431), we get a palindrome (36634500543663).

The spelling of 13400400143232 in words is "thirteen trillion, four hundred billion, four hundred million, one hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39744 79488 168583939 337167878 505751817 674335756 1011503634 1348671512 1517255451 2023007268 2697343024 3034510902 3877430597 4046014536 4551766353 5394686048 6069021804 7754861194 8092029072 9103532706 10789372096 11632291791 12138043608 15509722388 16184058144 18207065412 21578744192 23264583582 24276087216 31019444776 32368116288 34896875373 36414130824 46529167164 48552174432 62038889552 64736232576 69793750746 72828261648 93058334328 97104348864 104690626119 124077779104 139587501492 145656523296 186116668656 194208697728 209381252238 248155558208 279175002984 291313046592 372233337312 418762504476 496311116416 558350005968 582626093184 744466674624 837525008952 1116700011936 1488933349248 1675050017904 2233400023872 3350100035808 4466800047744 6700200071616 13400400143232