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30840979456 = 21876
BaseRepresentation
bin11100101110010001…
…000000000000000000
32221121100202002022101
4130232101000000000
51001130242320311
622100153120144
72141161000000
oct345621000000
987540662271
1030840979456
1112096a24381
125b886b9054
132ba6695591
1416c8000000
15c07897ec1
hex72e440000

30840979456 has 133 divisors (see below), whose sum is σ = 71962060759. Its totient is φ = 13217562624.

The previous prime is 30840979423. The next prime is 30840979459. The reversal of 30840979456 is 65497904803.

The square root of 30840979456 is 175616.

The cubic root of 30840979456 is 3136.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30840979397 and 30840979406.

It is not an unprimeable number, because it can be changed into a prime (30840979459) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 4405854205 + ... + 4405854211.

Almost surely, 230840979456 is an apocalyptic number.

30840979456 is the 175616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30840979456

30840979456 is an abundant number, since it is smaller than the sum of its proper divisors (41121081303).

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

30840979456 is an frugal number, since it uses more digits than its factorization.

30840979456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 30840979456 in words is "thirty billion, eight hundred forty million, nine hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16384 16807 19208 21952 25088 28672 32768 33614 38416 43904 50176 57344 65536 67228 76832 87808 100352 114688 117649 131072 134456 153664 175616 200704 229376 235298 262144 268912 307328 351232 401408 458752 470596 537824 614656 702464 802816 917504 941192 1075648 1229312 1404928 1605632 1835008 1882384 2151296 2458624 2809856 3211264 3764768 4302592 4917248 5619712 6422528 7529536 8605184 9834496 11239424 12845056 15059072 17210368 19668992 22478848 30118144 34420736 39337984 44957696 60236288 68841472 78675968 89915392 120472576 137682944 157351936 240945152 275365888 314703872 481890304 550731776 629407744 963780608 1101463552 1927561216 2202927104 3855122432 4405854208 7710244864 15420489728 30840979456