Search a number
-
+
303030970496 = 2743592693469
BaseRepresentation
bin1000110100011100000…
…11011010100010000000
31001222011202020021121122
410122032003122202000
514431101412023441
6351113245211412
730615250515122
oct4321603324200
91058152207548
10303030970496
111075730a02a1
124a890560b68
1322763a67a87
14109498cb212
157d3881e34b
hex468e0da880

303030970496 has 128 divisors (see below), whose sum is σ = 630721080000. Its totient is φ = 144900919296.

The previous prime is 303030970441. The next prime is 303030970499. The reversal of 303030970496 is 694079030303.

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

It is not an unprimeable number, because it can be changed into a prime (303030970499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87352250 + ... + 87355718.

Almost surely, 2303030970496 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 303030970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315360540000).

303030970496 is an abundant number, since it is smaller than the sum of its proper divisors (327690109504).

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

303030970496 is a wasteful number, since it uses less digits than its factorization.

303030970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 44.

The spelling of 303030970496 in words is "three hundred three billion, thirty million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 59 64 86 118 128 172 236 269 344 472 538 688 944 1076 1376 1888 2152 2537 2752 3469 3776 4304 5074 5504 6938 7552 8608 10148 11567 13876 15871 17216 20296 23134 27752 31742 34432 40592 46268 55504 63484 81184 92536 111008 126968 149167 162368 185072 204671 222016 253936 298334 324736 370144 409342 444032 507872 596668 682453 740288 818684 933161 1015744 1193336 1364906 1480576 1637368 1866322 2031488 2386672 2729812 3274736 3732644 4773344 5459624 6549472 7465288 8800853 9546688 10919248 13098944 14930576 17601706 19093376 21838496 26197888 29861152 35203412 40125923 43676992 55056499 59722304 70406824 80251846 87353984 110112998 119444608 140813648 160503692 220225996 281627296 321007384 440451992 563254592 642014768 880903984 1126509184 1284029536 1761807968 2367429457 2568059072 3523615936 4734858914 5136118144 7047231872 9469717828 18939435656 37878871312 75757742624 151515485248 303030970496