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31424031200 = 255250977171
BaseRepresentation
bin11101010001000001…
…001010100111100000
310000002222212011221102
4131101001022213200
51003324022444300
622234102013532
72161500600212
oct352101124740
9100088764842
1031424031200
1112366056821
12610ba172a8
132c6a408b03
1417416145b2
15c3db690d5
hex75104a9e0

31424031200 has 72 divisors (see below), whose sum is σ = 76865627160. Its totient is φ = 12544755200.

The previous prime is 31424031187. The next prime is 31424031229. The reversal of 31424031200 is 213042413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368615 + ... + 445785.

It is an arithmetic number, because the mean of its divisors is an integer number (1067578155).

Almost surely, 231424031200 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 31424031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38432813580).

31424031200 is an abundant number, since it is smaller than the sum of its proper divisors (45441595960).

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

31424031200 is a wasteful number, since it uses less digits than its factorization.

31424031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77700 (or 77687 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31424031200 its reverse (213042413), we get a palindrome (31637073613).

The spelling of 31424031200 in words is "thirty-one billion, four hundred twenty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 509 800 1018 2036 2545 4072 5090 8144 10180 12725 16288 20360 25450 40720 50900 77171 81440 101800 154342 203600 308684 385855 407200 617368 771710 1234736 1543420 1929275 2469472 3086840 3858550 6173680 7717100 12347360 15434200 30868400 39280039 61736800 78560078 157120156 196400195 314240312 392800390 628480624 785600780 982000975 1256961248 1571201560 1964001950 3142403120 3928003900 6284806240 7856007800 15712015600 31424031200