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150124003040 = 25511229267391
BaseRepresentation
bin1000101111010000010…
…1100111111011100000
3112100111101210112001202
42023310011213323200
54424423221044130
6152544354220332
713563132654104
oct2136405477340
9470441715052
10150124003040
11587380a4500
12251182846a8
131120617843b
1473a202d904
153d89926145
hex22f4167ee0

150124003040 has 144 divisors (see below), whose sum is σ = 403285962240. Its totient is φ = 52707916800.

The previous prime is 150124003013. The next prime is 150124003067. The reversal of 150124003040 is 40300421051.

150124003040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150124003013) and next prime (150124003067).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 427745 + ... + 695135.

It is an arithmetic number, because the mean of its divisors is an integer number (2800596960).

Almost surely, 2150124003040 is an apocalyptic number.

150124003040 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 150124003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201642981120).

150124003040 is an abundant number, since it is smaller than the sum of its proper divisors (253161959200).

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

150124003040 is a wasteful number, since it uses less digits than its factorization.

150124003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267457 (or 267438 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 150124003040 its reverse (40300421051), we get a palindrome (190424424091).

The spelling of 150124003040 in words is "one hundred fifty billion, one hundred twenty-four million, three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 121 145 160 176 220 232 242 290 319 352 440 464 484 580 605 638 880 928 968 1160 1210 1276 1595 1760 1936 2320 2420 2552 3190 3509 3872 4640 4840 5104 6380 7018 9680 10208 12760 14036 17545 19360 25520 28072 35090 51040 56144 70180 112288 140360 267391 280720 534782 561440 1069564 1336955 2139128 2673910 2941301 4278256 5347820 5882602 7754339 8556512 10695640 11765204 14706505 15508678 21391280 23530408 29413010 31017356 32354311 38771695 42782560 47060816 58826020 62034712 64708622 77543390 85297729 94121632 117652040 124069424 129417244 155086780 161771555 170595458 235304080 248138848 258834488 310173560 323543110 341190916 426488645 470608160 517668976 620347120 647086220 682381832 852977290 938275019 1035337952 1240694240 1294172440 1364763664 1705954580 1876550038 2588344880 2729527328 3411909160 3753100076 4691375095 5176689760 6823818320 7506200152 9382750190 13647636640 15012400304 18765500380 30024800608 37531000760 75062001520 150124003040