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31400432332440 = 23352741401323789
BaseRepresentation
bin1110010001110111110111…
…00111010110111010011000
311010011212000010012022120120
413020323323213112322120
513103431041134114230
6150441054240153240
76420414661662543
oct710737347267230
9133155003168516
1031400432332440
11a006937498086
123631745308820
13146a081798222
147a7b0917585a
15396be5d87310
hex1c8efb9d6e98

31400432332440 has 128 divisors (see below), whose sum is σ = 94263109387200. Its totient is φ = 8367956142080.

The previous prime is 31400432332439. The next prime is 31400432332457. The reversal of 31400432332440 is 4423323400413.

It is a happy number.

It is a super-3 number, since 3×314004323324403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 1319944066 + ... + 1319967854.

Almost surely, 231400432332440 is an apocalyptic number.

31400432332440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31400432332440 is an abundant number, since it is smaller than the sum of its proper divisors (62862677054760).

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

31400432332440 is a wasteful number, since it uses less digits than its factorization.

31400432332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30557 (or 30553 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 31400432332440 its reverse (4423323400413), we get a palindrome (35823755732853).

The spelling of 31400432332440 in words is "thirty-one trillion, four hundred billion, four hundred thirty-two million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2741 4013 5482 8026 8223 10964 12039 13705 16052 16446 20065 21928 23789 24078 27410 32104 32892 40130 41115 47578 48156 54820 60195 65784 71367 80260 82230 95156 96312 109640 118945 120390 142734 160520 164460 190312 237890 240780 285468 328920 356835 475780 481560 570936 713670 951560 1427340 2854680 10999633 21999266 32998899 43998532 54998165 65205649 65997798 87997064 95465257 109996330 130411298 131995596 164994495 190930514 195616947 219992660 260822596 263991192 286395771 326028245 329988990 381861028 391233894 439985320 477326285 521645192 572791542 652056490 659977980 763722056 782467788 954652570 978084735 1145583084 1304112980 1319955960 1431978855 1564935576 1909305140 1956169470 2291166168 2608225960 2863957710 3818610280 3912338940 5727915420 7824677880 11455830840 261670269437 523340538874 785010808311 1046681077748 1308351347185 1570021616622 2093362155496 2616702694370 3140043233244 3925054041555 5233405388740 6280086466488 7850108083110 10466810777480 15700216166220 31400432332440