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150351939840 = 2835208318797
BaseRepresentation
bin1000110000000110101…
…1001000100100000000
3112101002021200220120110
42030001223020210000
54430410044033330
6153023135511320
713601601254634
oct2140153104400
9471067626513
10150351939840
1158844828823
1225180688540
131124146459b
1473c4404dc4
153d9e94cdb0
hex2301ac8900

150351939840 has 144 divisors (see below), whose sum is σ = 480442592448. Its totient is φ = 40072470528.

The previous prime is 150351939823. The next prime is 150351939841. The reversal of 150351939840 is 48939153051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150351939840.

It is not an unprimeable number, because it can be changed into a prime (150351939841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7989322 + ... + 8008118.

It is an arithmetic number, because the mean of its divisors is an integer number (3336406892).

Almost surely, 2150351939840 is an apocalyptic number.

150351939840 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 150351939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240221296224).

150351939840 is an abundant number, since it is smaller than the sum of its proper divisors (330090652608).

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

150351939840 is a wasteful number, since it uses less digits than its factorization.

150351939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20904 (or 20890 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 150351939840 in words is "one hundred fifty billion, three hundred fifty-one million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2083 3840 4166 6249 8332 10415 12498 16664 18797 20830 24996 31245 33328 37594 41660 49992 56391 62490 66656 75188 83320 93985 99984 112782 124980 133312 150376 166640 187970 199968 225564 249960 266624 281955 300752 333280 375940 399936 451128 499920 533248 563910 601504 666560 751880 799872 902256 999840 1127820 1203008 1333120 1503760 1599744 1804512 1999680 2255640 2406016 2666240 3007520 3609024 3999360 4511280 4812032 6015040 7218048 7998720 9022560 12030080 14436096 18045120 24060160 36090240 39154151 72180480 78308302 117462453 156616604 195770755 234924906 313233208 391541510 469849812 587312265 626466416 783083020 939699624 1174624530 1252932832 1566166040 1879399248 2349249060 2505865664 3132332080 3758798496 4698498120 5011731328 6264664160 7517596992 9396996240 10023462656 12529328320 15035193984 18793992480 25058656640 30070387968 37587984960 50117313280 75175969920 150351939840