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124355630340 = 223251861371233
BaseRepresentation
bin111001111010000101…
…1000101010100000100
3102212222120001120001200
41303310023011110010
54014140020132330
6133043404422500
711661435263064
oct1636413052404
9385876046050
10124355630340
1148814569717
1220126547a30
13b95a6b3926
1460399d13a4
15337c577a60
hex1cf42c5504

124355630340 has 72 divisors (see below), whose sum is σ = 377415788568. Its totient is φ = 33143592960.

The previous prime is 124355630327. The next prime is 124355630341. The reversal of 124355630340 is 43036553421.

124355630340 is a `hidden beast` number, since 1 + 2 + 43 + 556 + 30 + 34 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3602160324 + 120753470016 = 60018^2 + 347496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 124355630295 and 124355630304.

It is not an unprimeable number, because it can be changed into a prime (124355630341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149364 + ... + 520596.

Almost surely, 2124355630340 is an apocalyptic number.

124355630340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124355630340 is an abundant number, since it is smaller than the sum of its proper divisors (253060158228).

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

124355630340 is a wasteful number, since it uses less digits than its factorization.

124355630340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373109 (or 373104 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 124355630340 in words is "one hundred twenty-four billion, three hundred fifty-five million, six hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1861 3722 5583 7444 9305 11166 16749 18610 22332 27915 33498 37220 55830 66996 83745 111660 167490 334980 371233 742466 1113699 1484932 1856165 2227398 3341097 3712330 4454796 5568495 6682194 7424660 11136990 13364388 16705485 22273980 33410970 66821940 690864613 1381729226 2072593839 2763458452 3454323065 4145187678 6217781517 6908646130 8290375356 10362969195 12435563034 13817292260 20725938390 24871126068 31088907585 41451876780 62177815170 124355630340