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309484270464 = 2734794118223
BaseRepresentation
bin1001000000011101011…
…00110011001110000000
31002120211111020212221120
410200032230303032000
520032310433123324
6354101453552240
731234210615545
oct4401654631600
91076744225846
10309484270464
1110a284891056
124bb917a5680
1323251a17575
1410d9c9b6bcc
1580b5148179
hex480eb33380

309484270464 has 128 divisors (see below), whose sum is σ = 840496711680. Its totient is φ = 100853667840.

The previous prime is 309484270441. The next prime is 309484270471. The reversal of 309484270464 is 464072484903.

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, 16974057 + ... + 16992279.

It is an arithmetic number, because the mean of its divisors is an integer number (6566380560).

Almost surely, 2309484270464 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 309484270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420248355840).

309484270464 is an abundant number, since it is smaller than the sum of its proper divisors (531012441216).

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

309484270464 is a wasteful number, since it uses less digits than its factorization.

309484270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19228 (or 19216 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 309484270464 in words is "three hundred nine billion, four hundred eighty-four million, two hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 941 1128 1504 1882 2256 2823 3008 3764 4512 5646 6016 7528 9024 11292 15056 18048 18223 22584 30112 36446 44227 45168 54669 60224 72892 88454 90336 109338 120448 132681 145784 176908 180672 218676 265362 291568 353816 361344 437352 530724 583136 707632 856481 874704 1061448 1166272 1415264 1712962 1749408 2122896 2332544 2569443 2830528 3425924 3498816 4245792 5138886 5661056 6851848 6997632 8491584 10277772 13703696 16983168 17147843 20555544 27407392 34295686 41111088 51443529 54814784 68591372 82222176 102887058 109629568 137182744 164444352 205774116 274365488 328888704 411548232 548730976 805948621 823096464 1097461952 1611897242 1646192928 2194923904 2417845863 3223794484 3292385856 4835691726 6447588968 6584771712 9671383452 12895177936 19342766904 25790355872 38685533808 51580711744 77371067616 103161423488 154742135232 309484270464