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31445352500 = 225429433729
BaseRepresentation
bin11101010010010010…
…100000000000110100
310000011110222102021012
4131102102200000310
51003400002240000
622240143011352
72162150041352
oct352222400064
9100143872235
1031445352500
1112377099831
126116b99b58
132c71962773
1417443a47d2
15c4097b735
hex7524a0034

31445352500 has 60 divisors (see below), whose sum is σ = 71136057300. Its totient is φ = 12144384000.

The previous prime is 31445352443. The next prime is 31445352503. The reversal of 31445352500 is 525354413.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 28751950096 + 2693402404 = 169564^2 + 51898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31445352503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144365 + ... + 289364.

It is an arithmetic number, because the mean of its divisors is an integer number (1185600955).

Almost surely, 231445352500 is an apocalyptic number.

It is an amenable number.

31445352500 is an abundant number, since it is smaller than the sum of its proper divisors (39690704800).

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

31445352500 is a wasteful number, since it uses less digits than its factorization.

31445352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433782 (or 433765 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 31445352500 in words is "thirty-one billion, four hundred forty-five million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 1250 1450 2500 2900 3625 7250 14500 18125 36250 72500 433729 867458 1734916 2168645 4337290 8674580 10843225 12578141 21686450 25156282 43372900 50312564 54216125 62890705 108432250 125781410 216864500 251562820 271080625 314453525 542161250 628907050 1084322500 1257814100 1572267625 3144535250 6289070500 7861338125 15722676250 31445352500