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58400115440 = 2451861392263
BaseRepresentation
bin110110011000111010…
…110000101011110000
312120202000010020201112
4312120322300223300
51424100412143230
642454553052452
74135131535142
oct663072605360
9176660106645
1058400115440
1122849385117
12b39a0b7128
135679164b34
142b801ccc92
1517bc077d95
hexd98eb0af0

58400115440 has 40 divisors (see below), whose sum is σ = 135853575648. Its totient is φ = 23347434240.

The previous prime is 58400115439. The next prime is 58400115517. The reversal of 58400115440 is 4451100485.

58400115440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

58400115440 is a modest number, since divided by 115440 gives 58400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 58400115397 and 58400115406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47252 + ... + 345011.

Almost surely, 258400115440 is an apocalyptic number.

It is an amenable number.

58400115440 is an abundant number, since it is smaller than the sum of its proper divisors (77453460208).

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

58400115440 is a wasteful number, since it uses less digits than its factorization.

58400115440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394137 (or 394131 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 58400115440 in words is "fifty-eight billion, four hundred million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1861 3722 7444 9305 14888 18610 29776 37220 74440 148880 392263 784526 1569052 1961315 3138104 3922630 6276208 7845260 15690520 31381040 730001443 1460002886 2920005772 3650007215 5840011544 7300014430 11680023088 14600028860 29200057720 58400115440