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31406525400 = 23352373140333
BaseRepresentation
bin11101001111111110…
…011000101111011000
310000001202220210111110
4131033332120233120
51003310032303100
622232234500320
72161166026665
oct351776305730
9100052823443
1031406525400
111235718a418
126105b946a0
132c668b9a53
14173d178a6c
15c3c35c250
hex74ff98bd8

31406525400 has 96 divisors (see below), whose sum is σ = 97621943760. Its totient is φ = 8352560640.

The previous prime is 31406525363. The next prime is 31406525401. The reversal of 31406525400 is 452560413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406525401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153634 + ... + 293966.

Almost surely, 231406525400 is an apocalyptic number.

31406525400 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 31406525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810971880).

31406525400 is an abundant number, since it is smaller than the sum of its proper divisors (66215418360).

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

31406525400 is a wasteful number, since it uses less digits than its factorization.

31406525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140725 (or 140716 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 31406525400 in words is "thirty-one billion, four hundred six million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 373 600 746 1119 1492 1865 2238 2984 3730 4476 5595 7460 8952 9325 11190 14920 18650 22380 27975 37300 44760 55950 74600 111900 140333 223800 280666 420999 561332 701665 841998 1122664 1403330 1683996 2104995 2806660 3367992 3508325 4209990 5613320 7016650 8419980 10524975 14033300 16839960 21049950 28066600 42099900 52344209 84199800 104688418 157032627 209376836 261721045 314065254 418753672 523442090 628130508 785163135 1046884180 1256261016 1308605225 1570326270 2093768360 2617210450 3140652540 3925815675 5234420900 6281305080 7851631350 10468841800 15703262700 31406525400