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31400500240 = 2458320272333
BaseRepresentation
bin11101001111100111…
…011001110000010000
310000001100120200112101
4131033213121300100
51003302012001430
622231501410144
72161063563634
oct351747316020
9100040520471
1031400500240
111235384464a
126103b69954
132c6558a475
14173c44adc4
15c3ba6bdca
hex74f9d9c10

31400500240 has 80 divisors (see below), whose sum is σ = 73953891648. Its totient is φ = 12397434368.

The previous prime is 31400500211. The next prime is 31400500291. The reversal of 31400500240 is 4200500413.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13458114 + ... + 13460446.

Almost surely, 231400500240 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 31400500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36976945824).

31400500240 is an abundant number, since it is smaller than the sum of its proper divisors (42553391408).

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

31400500240 is a wasteful number, since it uses less digits than its factorization.

31400500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The spelling of 31400500240 in words is "thirty-one billion, four hundred million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 2027 2333 3320 4054 4666 6640 8108 9332 10135 11665 16216 18664 20270 23330 32432 37328 40540 46660 81080 93320 162160 168241 186640 193639 336482 387278 672964 774556 841205 968195 1345928 1549112 1682410 1936390 2691856 3098224 3364820 3872780 4728991 6729640 7745560 9457982 13459280 15491120 18915964 23644955 37831928 47289910 75663856 94579820 189159640 378319280 392506253 785012506 1570025012 1962531265 3140050024 3925062530 6280100048 7850125060 15700250120 31400500240