Search a number
-
+
124567144440 = 233553107183047
BaseRepresentation
bin111010000000011000…
…1111100011111111000
3102220112022001120212020
41310000301330133320
54020103142110230
6133120402114440
711666614154214
oct1640061743770
9386468046766
10124567144440
11489129a6362
122018534ba20
13b99246c9bb
146059b2d944
153390e08810
hex1d00c7c7f8

124567144440 has 128 divisors (see below), whose sum is σ = 384312936960. Its totient is φ = 32286385664.

The previous prime is 124567144421. The next prime is 124567144501. The reversal of 124567144440 is 44441765421.

It is a junction number, because it is equal to n+sod(n) for n = 124567144392 and 124567144401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588997 + ... + 772043.

It is an arithmetic number, because the mean of its divisors is an integer number (3002444820).

Almost surely, 2124567144440 is an apocalyptic number.

124567144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124567144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192156468480).

124567144440 is an abundant number, since it is smaller than the sum of its proper divisors (259745792520).

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

124567144440 is a wasteful number, since it uses less digits than its factorization.

124567144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183221 (or 183217 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 124567144440 in words is "one hundred twenty-four billion, five hundred sixty-seven million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 107 120 159 212 214 265 318 321 424 428 530 535 636 642 795 856 1060 1070 1272 1284 1590 1605 2120 2140 2568 3180 3210 4280 5671 6360 6420 11342 12840 17013 22684 28355 34026 45368 56710 68052 85065 113420 136104 170130 183047 226840 340260 366094 549141 680520 732188 915235 1098282 1464376 1830470 2196564 2745705 3660940 4393128 5491410 7321880 9701491 10982820 19402982 19586029 21965640 29104473 38805964 39172058 48507455 58208946 58758087 77611928 78344116 97014910 97930145 116417892 117516174 145522365 156688232 194029820 195860290 232835784 235032348 291044730 293790435 388059640 391720580 470064696 582089460 587580870 783441160 1038059537 1164178920 1175161740 2076119074 2350323480 3114178611 4152238148 5190297685 6228357222 8304476296 10380595370 12456714444 15570893055 20761190740 24913428888 31141786110 41522381480 62283572220 124567144440