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31220431440 = 24351111825921
BaseRepresentation
bin11101000100111000…
…011111101001010000
32222120210202020120120
4131010320133221100
51002414412301230
622201550110240
72153446201002
oct350470375120
988523666516
1031220431440
1112271135260
1260737ab380
132c37191193
141722576372
15c2ad4d310
hex744e1fa50

31220431440 has 80 divisors (see below), whose sum is σ = 105581831616. Its totient is φ = 7568588800.

The previous prime is 31220431409. The next prime is 31220431447. The reversal of 31220431440 is 4413402213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31220431440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220431447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910321 + ... + 5915600.

Almost surely, 231220431440 is an apocalyptic number.

31220431440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31220431440 is an abundant number, since it is smaller than the sum of its proper divisors (74361400176).

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

31220431440 is a wasteful number, since it uses less digits than its factorization.

31220431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825948 (or 11825942 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31220431440 its reverse (4413402213), we get a palindrome (35633833653).

The spelling of 31220431440 in words is "thirty-one billion, two hundred twenty million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 11825921 23651842 35477763 47303684 59129605 70955526 94607368 118259210 130085131 141911052 177388815 189214736 236518420 260170262 283822104 354777630 390255393 473036840 520340524 567644208 650425655 709555260 780510786 946073680 1040681048 1300851310 1419110520 1561021572 1951276965 2081362096 2601702620 2838221040 3122043144 3902553930 5203405240 6244086288 7805107860 10406810480 15610215720 31220431440