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151042944 = 2731379383
BaseRepresentation
bin10010000000010…
…11101110000000
3101112012202222010
421000023232000
5302131333234
622553212520
73512562303
oct1100135600
9345182863
10151042944
1178294888
1242701140
13253a5830
14160bab3a
15d3d86e9
hex900bb80

151042944 has 128 divisors (see below), whose sum is σ = 438681600. Its totient is φ = 45766656.

The previous prime is 151042937. The next prime is 151042963. The reversal of 151042944 is 449240151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394177 + ... + 394559.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2151042944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

151042944 is an abundant number, since it is smaller than the sum of its proper divisors (287638656).

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

151042944 is a wasteful number, since it uses less digits than its factorization.

151042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 151042944 is about 12289.9529698042. The cubic root of 151042944 is about 532.5578786082.

The spelling of 151042944 in words is "one hundred fifty-one million, forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 383 384 416 474 624 632 766 832 948 1027 1149 1248 1264 1532 1664 1896 2054 2298 2496 2528 3064 3081 3792 4108 4596 4979 4992 5056 6128 6162 7584 8216 9192 9958 10112 12256 12324 14937 15168 16432 18384 19916 24512 24648 29874 30257 30336 32864 36768 39832 49024 49296 59748 60514 65728 73536 79664 90771 98592 119496 121028 131456 147072 159328 181542 197184 238992 242056 318656 363084 393341 394368 477984 484112 637312 726168 786682 955968 968224 1180023 1452336 1573364 1911936 1936448 2360046 2904672 3146728 3872896 4720092 5809344 6293456 9440184 11618688 12586912 18880368 25173824 37760736 50347648 75521472 151042944