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30542934016 = 21272314909
BaseRepresentation
bin11100011100100000…
…000011000000000000
32220211120220210211101
4130130200003000000
51000022442342031
622010425024144
72130611440600
oct343440030000
986746823741
1030542934016
1111a53765431
125b04925054
132b59a0032a
14169a5b8c00
15bdb623361
hex71c803000

30542934016 has 156 divisors (see below), whose sum is σ = 73357285440. Its totient is φ = 12664995840.

The previous prime is 30542933977. The next prime is 30542934041. The reversal of 30542934016 is 61043924503.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6219370 + ... + 6224278.

Almost surely, 230542934016 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 30542934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36678642720).

30542934016 is an abundant number, since it is smaller than the sum of its proper divisors (42814351424).

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

30542934016 is an equidigital number, since it uses as much as digits as its factorization.

30542934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 30542934016 in words is "thirty billion, five hundred forty-two million, nine hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 896 992 1024 1519 1568 1736 1792 1984 2048 3038 3136 3472 3584 3968 4096 4909 6076 6272 6944 7168 7936 9818 12152 12544 13888 14336 15872 19636 24304 25088 27776 28672 31744 34363 39272 48608 50176 55552 63488 68726 78544 97216 100352 111104 126976 137452 152179 157088 194432 200704 222208 240541 274904 304358 314176 388864 444416 481082 549808 608716 628352 777728 888832 962164 1065253 1099616 1217432 1256704 1555456 1924328 2130506 2199232 2434864 2513408 3110912 3848656 4261012 4398464 4869728 5026816 6221824 7456771 7697312 8522024 8796928 9739456 10053632 14913542 15394624 17044048 17593856 19478912 20107264 29827084 30789248 34088096 35187712 38957824 59654168 61578496 68176192 70375424 77915648 119308336 123156992 136352384 140750848 155831296 238616672 246313984 272704768 311662592 477233344 492627968 545409536 623325184 954466688 985255936 1090819072 1908933376 2181638144 3817866752 4363276288 7635733504 15271467008 30542934016