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133400454432340 = 225499312757104717
BaseRepresentation
bin11110010101001110110110…
…101100110000011001010100
3122111022221220000221111012011
4132111032312230300121110
5114441113112313313330
61151415153413434004
740045602422366314
oct3625166654603124
9574287800844164
10133400454432340
11395618a686a017
1212b65a9a33b904
1359587bb9126a4
1424d288b74b444
1510650ba54c82a
hex7953b6b30654

133400454432340 has 48 divisors (see below), whose sum is σ = 280221701194512. Its totient is φ = 53344803373056.

The previous prime is 133400454432313. The next prime is 133400454432361. The reversal of 133400454432340 is 43234454004331.

It can be written as a sum of positive squares in 8 ways, for example, as 16402224601156 + 116998229831184 = 4049966^2 + 10816572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133400454432293 and 133400454432302.

It is a congruent number.

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, 1273861662 + ... + 1273966378.

It is an arithmetic number, because the mean of its divisors is an integer number (5837952108219).

Almost surely, 2133400454432340 is an apocalyptic number.

133400454432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133400454432340 is an abundant number, since it is smaller than the sum of its proper divisors (146821246762172).

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

133400454432340 is a wasteful number, since it uses less digits than its factorization.

133400454432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122476 (or 122474 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

The spelling of 133400454432340 in words is "one hundred thirty-three trillion, four hundred billion, four hundred fifty-four million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 4993 9986 12757 19972 24965 25514 49930 51028 63785 99860 104717 127570 209434 255140 418868 523585 1047170 2094340 63695701 127391402 254782804 318478505 522851981 636957010 1045703962 1273914020 1335874769 2091407924 2614259905 2671749538 5228519810 5343499076 6679373845 10457039620 13358747690 26717495380 6670022721617 13340045443234 26680090886468 33350113608085 66700227216170 133400454432340