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3157317422144 = 262334199677
BaseRepresentation
bin101101111100011110110…
…010001000110001000000
3102011211120212202100102122
4231330132302020301000
5403212141230002034
610414241313503412
7444052161165434
oct55743662106100
912154525670378
103157317422144
111008013412446
1242baab271b68
1319b9700a3042
14acb5a4309c4
15571e093d62e
hex2df1ec88c40

3157317422144 has 112 divisors (see below), whose sum is σ = 6566375894400. Its totient is φ = 1506261836288.

The previous prime is 3157317422111. The next prime is 3157317422263. The reversal of 3157317422144 is 4412247137513.

It is a junction number, because it is equal to n+sod(n) for n = 3157317422095 and 3157317422104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326265434 + ... + 326275110.

It is an arithmetic number, because the mean of its divisors is an integer number (58628356200).

Almost surely, 23157317422144 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 3157317422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283187947200).

3157317422144 is an abundant number, since it is smaller than the sum of its proper divisors (3409058472256).

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

3157317422144 is an frugal number, since it uses more digits than its factorization.

3157317422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10121 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The spelling of 3157317422144 in words is "three trillion, one hundred fifty-seven billion, three hundred seventeen million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 419 529 736 838 1058 1472 1676 2116 3352 4232 6704 8464 9637 9677 12167 13408 16928 19274 19354 24334 26816 33856 38548 38708 48668 77096 77416 97336 154192 154832 194672 221651 222571 308384 309664 389344 443302 445142 616768 619328 778688 886604 890284 1773208 1780568 3546416 3561136 4054663 5097973 5119133 7092832 7122272 8109326 10195946 10238266 14185664 14244544 16218652 20391892 20476532 32437304 40783784 40953064 64874608 81567568 81906128 93257249 117740059 129749216 163135136 163812256 186514498 235480118 259498432 326270272 327624512 373028996 470960236 746057992 941920472 1492115984 1883840944 2144916727 2984231968 3767681888 4289833454 5968463936 7535363776 8579666908 17159333816 34318667632 49333084721 68637335264 98666169442 137274670528 197332338884 394664677768 789329355536 1578658711072 3157317422144