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31347414880 = 2557910932269
BaseRepresentation
bin11101001100011100…
…111001011101100000
32222220122200200002221
4131030130321131200
51003144414234010
622222323520424
72156550426055
oct351434713540
988818620087
1031347414880
1112326886851
1260aa229114
132c57591902
14173538d02c
15c37082dda
hex74c739760

31347414880 has 96 divisors (see below), whose sum is σ = 75097411200. Its totient is φ = 12363466752.

The previous prime is 31347414869. The next prime is 31347414883. The reversal of 31347414880 is 8841474313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31347414883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13814386 + ... + 13816654.

It is an arithmetic number, because the mean of its divisors is an integer number (782264700).

Almost surely, 231347414880 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 31347414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37548705600).

31347414880 is an abundant number, since it is smaller than the sum of its proper divisors (43749996320).

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

31347414880 is a wasteful number, since it uses less digits than its factorization.

31347414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 31347414880 in words is "thirty-one billion, three hundred forty-seven million, four hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1093 1264 1580 2186 2269 2528 3160 4372 4538 5465 6320 8744 9076 10930 11345 12640 17488 18152 21860 22690 34976 36304 43720 45380 72608 86347 87440 90760 172694 174880 179251 181520 345388 358502 363040 431735 690776 717004 863470 896255 1381552 1434008 1726940 1792510 2480017 2763104 2868016 3453880 3585020 4960034 5736032 6907760 7170040 9920068 12400085 13815520 14340080 19840136 24800170 28680160 39680272 49600340 79360544 99200680 195921343 198401360 391842686 396802720 783685372 979606715 1567370744 1959213430 3134741488 3918426860 6269482976 7836853720 15673707440 31347414880