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154126430040 = 233511250346649
BaseRepresentation
bin1000111110001010100…
…1101010111101011000
3112201211100001212201210
42033202221222331120
510011122331230130
6154445452143120
714064253016352
oct2174251527530
9481740055653
10154126430040
115a401396110
1225a54767aa0
13116c343973b
1476618160d2
154020eca5b0
hex23e2a6af58

154126430040 has 128 divisors (see below), whose sum is σ = 504626112000. Its totient is φ = 37348254720.

The previous prime is 154126430033. The next prime is 154126430057. The reversal of 154126430040 is 40034621451.

154126430040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3280636 + ... + 3327284.

It is an arithmetic number, because the mean of its divisors is an integer number (3942391500).

Almost surely, 2154126430040 is an apocalyptic number.

154126430040 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 154126430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252313056000).

154126430040 is an abundant number, since it is smaller than the sum of its proper divisors (350499681960).

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

154126430040 is a wasteful number, since it uses less digits than its factorization.

154126430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49177 (or 49173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 154126430040 in words is "one hundred fifty-four billion, one hundred twenty-six million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2503 5006 7509 10012 12515 15018 20024 25030 27533 30036 37545 46649 50060 55066 60072 75090 82599 93298 100120 110132 137665 139947 150180 165198 186596 220264 233245 275330 279894 300360 330396 373192 412995 466490 513139 550660 559788 660792 699735 825990 932980 1026278 1101320 1119576 1399470 1539417 1651980 1865960 2052556 2565695 2798940 3078834 3303960 4105112 5131390 5597880 6157668 7697085 10262780 12315336 15394170 20525560 30788340 61576680 116762447 233524894 350287341 467049788 583812235 700574682 934099576 1167624470 1284386917 1401149364 1751436705 2335248940 2568773834 2802298728 3502873410 3853160751 4670497880 5137547668 6421934585 7005746820 7706321502 10275095336 12843869170 14011493640 15412643004 19265803755 25687738340 30825286008 38531607510 51375476680 77063215020 154126430040