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31414141224 = 23341392291523
BaseRepresentation
bin11101010000011011…
…011100000100101000
310000002022020201110000
4131100123130010220
51003314010004344
622233110023000
72161320536364
oct352033340450
9100068221400
1031414141224
1112360511294
126108647a60
132c6835535b
14174019c2a4
15c3cd63a69
hex7506dc128

31414141224 has 160 divisors (see below), whose sum is σ = 89067132000. Its totient is φ = 10343852928.

The previous prime is 31414141219. The next prime is 31414141243. The reversal of 31414141224 is 42214141413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20625727 + ... + 20627249.

It is an arithmetic number, because the mean of its divisors is an integer number (556669575).

Almost surely, 231414141224 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 31414141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533566000).

31414141224 is an abundant number, since it is smaller than the sum of its proper divisors (57652990776).

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

31414141224 is a wasteful number, since it uses less digits than its factorization.

31414141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1896 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 31414141224 its reverse (42214141413), we get a palindrome (73628282637).

The spelling of 31414141224 in words is "thirty-one billion, four hundred fourteen million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 229 278 324 417 458 556 648 687 834 916 1112 1251 1374 1523 1668 1832 2061 2502 2748 3046 3336 3753 4122 4569 5004 5496 6092 6183 7506 8244 9138 10008 11259 12184 12366 13707 15012 16488 18276 18549 22518 24732 27414 30024 31831 36552 37098 41121 45036 49464 54828 63662 74196 82242 90072 95493 109656 123363 127324 148392 164484 190986 211697 246726 254648 286479 328968 348767 381972 423394 493452 572958 635091 697534 763944 846788 859437 986904 1046301 1145916 1270182 1395068 1693576 1718874 1905273 2092602 2291832 2540364 2578311 2790136 3138903 3437748 3810546 4185204 5080728 5156622 5715819 6277806 6875496 7621092 8370408 9416709 10313244 11431638 12555612 15242184 17147457 18833418 20626488 22863276 25111224 28250127 34294914 37666836 45726552 48478613 56500254 68589828 75333672 96957226 113000508 137179656 145435839 193914452 226001016 290871678 387828904 436307517 581743356 872615034 1163486712 1308922551 1745230068 2617845102 3490460136 3926767653 5235690204 7853535306 10471380408 15707070612 31414141224