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32113112331440 = 24572321431163441
BaseRepresentation
bin1110100110100111010101…
…01001110011010010110000
311012200222120000100101221002
413103103222221303102300
513202120123224101230
6152144320554021132
76523044601012310
oct723235251632260
9135628500311832
1032113112331440
11a2611047a6698
1237278a04177a8
1314bc33ac2534a
147d03d6507440
153aa508231545
hex1d34eaa734b0

32113112331440 has 160 divisors (see below), whose sum is σ = 89080714469376. Its totient is φ = 10526581739520.

The previous prime is 32113112331409. The next prime is 32113112331533. The reversal of 32113112331440 is 4413321131123.

It is a super-2 number, since 2×321131123314402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27020120 + ... + 28183560.

Almost surely, 232113112331440 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 32113112331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44540357234688).

32113112331440 is an abundant number, since it is smaller than the sum of its proper divisors (56967602137936).

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

32113112331440 is a wasteful number, since it uses less digits than its factorization.

32113112331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165627 (or 1165621 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 32113112331440 its reverse (4413321131123), we get a palindrome (36526433462563).

The spelling of 32113112331440 in words is "thirty-two trillion, one hundred thirteen billion, one hundred twelve million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2143 2576 3220 4286 6440 8572 10715 12880 15001 17144 21430 30002 34288 42860 49289 60004 75005 85720 98578 120008 150010 171440 197156 240016 246445 300020 345023 394312 492890 600040 690046 788624 985780 1163441 1200080 1380092 1725115 1971560 2326882 2760184 3450230 3943120 4653764 5520368 5817205 6900460 8144087 9307528 11634410 13800920 16288174 18615056 23268820 26759143 27601840 32576348 40720435 46537640 53518286 65152696 81440870 93075280 107036572 130305392 133795715 162881740 187314001 214073144 267591430 325763480 374628002 428146288 535182860 651526960 749256004 936570005 1070365720 1498512008 1873140010 2140731440 2493254063 2997024016 3746280020 4986508126 7492560040 9973016252 12466270315 14985120080 17452778441 19946032504 24932540630 34905556882 39892065008 49865081260 57344843449 69811113764 87263892205 99730162520 114689686898 139622227528 174527784410 199460325040 229379373796 279244455056 286724217245 349055568820 401413904143 458758747592 573448434490 698111137640 802827808286 917517495184 1146896868980 1396222275280 1605655616572 2007069520715 2293793737960 3211311233144 4014139041430 4587587475920 6422622466288 8028278082860 16056556165720 32113112331440