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40078037355312 = 243111715792827753
BaseRepresentation
bin10010001110011011001010…
…01011100000101100110000
312020220102102022222101221110
421013031211023200230300
520223114310030332222
6221123332435353320
711304354061445115
oct1107154513405460
9166812368871843
1040078037355312
1111852000289150
1245b3485752840
13194945bc04058
149c7b0472090c
154977c5c5630c
hex2473652e0b30

40078037355312 has 160 divisors (see below), whose sum is σ = 119666929754880. Its totient is φ = 11423213199360.

The previous prime is 40078037355289. The next prime is 40078037355347. The reversal of 40078037355312 is 21355373087004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12759228 + ... + 15586980.

It is an arithmetic number, because the mean of its divisors is an integer number (747918310968).

Almost surely, 240078037355312 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 40078037355312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59833464877440).

40078037355312 is an abundant number, since it is smaller than the sum of its proper divisors (79588892399568).

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

40078037355312 is a wasteful number, since it uses less digits than its factorization.

40078037355312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829371 (or 2829365 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 40078037355312 in words is "forty trillion, seventy-eight billion, thirty-seven million, three hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 1579 2244 2992 3158 4488 4737 6316 8976 9474 12632 17369 18948 25264 26843 34738 37896 52107 53686 69476 75792 80529 104214 107372 138952 161058 208428 214744 277904 295273 322116 416856 429488 590546 644232 833712 885819 1181092 1288464 1771638 2362184 2827753 3543276 4724368 5655506 7086552 8483259 11311012 14173104 16966518 22622024 31105283 33933036 45244048 48071801 62210566 67866072 93315849 96143602 124421132 135732144 144215403 186631698 192287204 248842264 288430806 373263396 384574408 497684528 528789811 576861612 746526792 769148816 1057579622 1153723224 1493053584 1586369433 2115159244 2307446448 3172738866 4230318488 4465021987 6345477732 8460636976 8930043974 12690955464 13395065961 17860087948 25381910928 26790131922 35720175896 49115241857 53580263844 71440351792 75905373779 98230483714 107160527688 147345725571 151810747558 196460967428 214321055376 227716121337 294691451142 303621495116 392921934856 455432242674 589382902284 607242990232 785843869712 834959111569 910864485348 1178765804568 1214485980464 1669918223138 1821728970696 2357531609136 2504877334707 3339836446276 3643457941392 5009754669414 6679672892552 10019509338828 13359345785104 20039018677656 40078037355312