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31404132143440 = 2457596411482821
BaseRepresentation
bin1110010001111110110000…
…01001000001000101010000
311010012012112222001012010121
413020333120021001011100
513104011130312042230
6150442505324040024
76420605445601540
oct710773011010520
9133165488035117
1031404132143440
11a008465988921
1236323b8393014
13146a521153ac4
147a7d7a6a7320
15396d60ab277a
hex1c8fd8241150

31404132143440 has 160 divisors (see below), whose sum is σ = 84992035518720. Its totient is φ = 10568117452800.

The previous prime is 31404132143389. The next prime is 31404132143509. The reversal of 31404132143440 is 4434123140413.

It is a junction number, because it is equal to n+sod(n) for n = 31404132143396 and 31404132143405.

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, 20437230 + ... + 21920050.

It is an arithmetic number, because the mean of its divisors is an integer number (531200221992).

Almost surely, 231404132143440 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 31404132143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42496017759360).

31404132143440 is an abundant number, since it is smaller than the sum of its proper divisors (53587903375280).

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

31404132143440 is a wasteful number, since it uses less digits than its factorization.

31404132143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483541 (or 1483535 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 31404132143440 its reverse (4434123140413), we get a palindrome (35838255283853).

The spelling of 31404132143440 in words is "thirty-one trillion, four hundred four billion, one hundred thirty-two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 641 826 944 1180 1282 1652 2065 2360 2564 3205 3304 4130 4487 4720 5128 6410 6608 8260 8974 10256 12820 16520 17948 22435 25640 33040 35896 37819 44870 51280 71792 75638 89740 151276 179480 189095 264733 302552 358960 378190 529466 605104 756380 1058932 1323665 1482821 1512760 2117864 2647330 2965642 3025520 4235728 5294660 5931284 7414105 10379747 10589320 11862568 14828210 20759494 21178640 23725136 29656420 41518988 51898735 59312840 83037976 87486439 103797470 118625680 166075952 174972878 207594940 349945756 415189880 437432195 612405073 699891512 830379760 874864390 950488261 1224810146 1399783024 1749728780 1900976522 2449620292 3062025365 3499457560 3801953044 4752441305 4899240584 6124050730 6653417827 6998915120 7603906088 9504882610 9798481168 12248101460 13306835654 15207812176 19009765220 24496202920 26613671308 33267089135 38019530440 48992405840 53227342616 56078807399 66534178270 76039060880 106454685232 112157614798 133068356540 224315229596 266136713080 280394036995 392551651793 448630459192 532273426160 560788073990 785103303586 897260918384 1121576147980 1570206607172 1962758258965 2243152295960 3140413214344 3925516517930 4486304591920 6280826428688 7851033035860 15702066071720 31404132143440