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31224143440 = 24571713125037
BaseRepresentation
bin11101000101000110…
…101001111001010000
32222121001201211111001
4131011012221321100
51002421340042230
622202201431344
72153522561110
oct350506517120
988531654431
1031224143440
1112273240126
126074a9b554
132c37b90929
141722c61040
15c2b3330ca
hex7451a9e50

31224143440 has 160 divisors (see below), whose sum is σ = 88521548544. Its totient is φ = 9998376960.

The previous prime is 31224143437. The next prime is 31224143443. The reversal of 31224143440 is 4434142213.

It is an interprime number because it is at equal distance from previous prime (31224143437) and next prime (31224143443).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31224143399 and 31224143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31224143443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234602 + ... + 1259638.

Almost surely, 231224143440 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 31224143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44260774272).

31224143440 is an abundant number, since it is smaller than the sum of its proper divisors (57297405104).

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

31224143440 is a wasteful number, since it uses less digits than its factorization.

31224143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25205 (or 25199 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31224143440 its reverse (4434142213), we get a palindrome (35658285653).

The spelling of 31224143440 in words is "thirty-one billion, two hundred twenty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 131 136 140 170 238 262 272 280 340 476 524 560 595 655 680 917 952 1048 1190 1310 1360 1834 1904 2096 2227 2380 2620 3668 4454 4585 4760 5240 7336 8908 9170 9520 10480 11135 14672 15589 17816 18340 22270 25037 31178 35632 36680 44540 50074 62356 73360 77945 89080 100148 124712 125185 155890 175259 178160 200296 249424 250370 311780 350518 400592 425629 500740 623560 701036 851258 876295 1001480 1247120 1402072 1702516 1752590 2002960 2128145 2804144 2979403 3279847 3405032 3505180 4256290 5958806 6559694 6810064 7010360 8512580 11917612 13119388 14020720 14897015 16399235 17025160 22958929 23835224 26238776 29794030 32798470 34050320 45917858 47670448 52477552 55757399 59588060 65596940 91835716 111514798 114794645 119176120 131193880 183671432 223029596 229589290 238352240 262387760 278786995 367342864 390301793 446059192 459178580 557573990 780603586 892118384 918357160 1115147980 1561207172 1836714320 1951508965 2230295960 3122414344 3903017930 4460591920 6244828688 7806035860 15612071720 31224143440