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31026571166040 = 23355913003337021
BaseRepresentation
bin1110000110111111011111…
…10000001100000101011000
311001212010000002110021101220
413003133233300030011120
513031314404204303130
6145553224322012040
76351411233335512
oct703375760140530
9131763002407356
1031026571166040
1199823276202aa
1235911a7aa7020
131440a405bca38
147939a06c6bb2
1538c114118410
hex1c37efc0c158

31026571166040 has 128 divisors (see below), whose sum is σ = 94664896300800. Its totient is φ = 8132869578240.

The previous prime is 31026571166039. The next prime is 31026571166051. The reversal of 31026571166040 is 4066117562013.

It is a junction number, because it is equal to n+sod(n) for n = 31026571165983 and 31026571166001.

It is a congruent number.

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, 91892730 + ... + 92229750.

It is an arithmetic number, because the mean of its divisors is an integer number (739569502350).

Almost surely, 231026571166040 is an apocalyptic number.

31026571166040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31026571166040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47332448150400).

31026571166040 is an abundant number, since it is smaller than the sum of its proper divisors (63638325134760).

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

31026571166040 is a wasteful number, since it uses less digits than its factorization.

31026571166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350097 (or 350093 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 31026571166040 in words is "thirty-one trillion, twenty-six billion, five hundred seventy-one million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 13003 26006 39009 52012 65015 78018 104024 130030 156036 195045 260060 312072 337021 390090 520120 674042 767177 780180 1011063 1348084 1534354 1560360 1685105 2022126 2301531 2696168 3068708 3370210 3835885 4044252 4603062 5055315 6137416 6740420 7671770 8088504 9206124 10110630 11507655 13480840 15343540 18412248 19884239 20221260 23015310 30687080 39768478 40442520 46030620 59652717 79536956 92061240 99421195 119305434 159073912 198842390 238610868 298263585 397684780 477221736 596527170 795369560 1193054340 2386108680 4382284063 8764568126 13146852189 17529136252 21911420315 26293704378 35058272504 43822840630 52587408756 65734260945 87645681260 105174817512 131468521890 175291362520 258554759717 262937043780 517109519434 525874087560 775664279151 1034219038868 1292773798585 1551328558302 2068438077736 2585547597170 3102657116604 3878321395755 5171095194340 6205314233208 7756642791510 10342190388680 15513285583020 31026571166040