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150400321512 = 233717419125683
BaseRepresentation
bin1000110000010010001…
…1101100011111101000
3112101012122201221202020
42030010203230133220
54431004440242022
6153032024504440
713603026432240
oct2140443543750
9471178657666
10150400321512
115886a073681
122519491b120
131124b4a41ac
1473ca9dab20
153da3d0835c
hex23048ec7e8

150400321512 has 128 divisors (see below), whose sum is σ = 456082099200. Its totient is φ = 40346938368.

The previous prime is 150400321447. The next prime is 150400321531. The reversal of 150400321512 is 215123004051.

It is a happy number.

It is a super-2 number, since 2×1504003215122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133823 + ... + 1259505.

It is an arithmetic number, because the mean of its divisors is an integer number (3563141400).

Almost surely, 2150400321512 is an apocalyptic number.

150400321512 is a gapful number since it is divisible by the number (12) 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 150400321512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228041049600).

150400321512 is an abundant number, since it is smaller than the sum of its proper divisors (305681777688).

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

150400321512 is a wasteful number, since it uses less digits than its factorization.

150400321512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126135 (or 126131 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 150400321512 its reverse (215123004051), we get a palindrome (365523325563).

The spelling of 150400321512 in words is "one hundred fifty billion, four hundred million, three hundred twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 419 476 714 838 952 1257 1428 1676 2514 2856 2933 3352 5028 5866 7123 8799 10056 11732 14246 17598 21369 23464 28492 35196 42738 49861 56984 70392 85476 99722 125683 149583 170952 199444 251366 299166 377049 398888 502732 598332 754098 879781 1005464 1196664 1508196 1759562 2136611 2639343 3016392 3519124 4273222 5278686 6409833 7038248 8546444 10557372 12819666 14956277 17092888 21114744 25639332 29912554 44868831 51278664 52661177 59825108 89737662 105322354 119650216 157983531 179475324 210644708 315967062 358950648 368628239 421289416 631934124 737256478 895240009 1105884717 1263868248 1474512956 1790480018 2211769434 2685720027 2949025912 3580960036 4423538868 5371440054 6266680063 7161920072 8847077736 10742880108 12533360126 18800040189 21485760216 25066720252 37600080378 50133440504 75200160756 150400321512