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3130301434000 = 245313499324113
BaseRepresentation
bin101101100011010100100…
…000010100100010010000
3102002020212002101221210011
4231203110200110202100
5402241324131342000
610354012435244304
7442104534112546
oct55432440244220
912066762357704
103130301434000
11aa760a609714
1242680b749694
13199255cb5140
14ab716429d96
155665dc9b2ba
hex2d8d4814890

3130301434000 has 160 divisors (see below), whose sum is σ = 8153275594464. Its totient is φ = 1155524198400.

The previous prime is 3130301433977. The next prime is 3130301434033. The reversal of 3130301434000 is 4341030313.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2688406212496 + 441895221504 = 1639636^2 + 664752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129805944 + ... + 129830056.

Almost surely, 23130301434000 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 3130301434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076637797232).

3130301434000 is an abundant number, since it is smaller than the sum of its proper divisors (5022974160464).

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

3130301434000 is a wasteful number, since it uses less digits than its factorization.

3130301434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29142 (or 29126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3130301434000 its reverse (4341030313), we get a palindrome (3134642464313).

The spelling of 3130301434000 in words is "three trillion, one hundred thirty billion, three hundred one million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 4993 5200 6500 9986 13000 19972 24113 24965 26000 39944 48226 49930 64909 79888 96452 99860 120565 124825 129818 192904 199720 241130 249650 259636 313469 324545 385808 399440 482260 499300 519272 602825 624125 626938 649090 964520 998600 1038544 1205650 1248250 1253876 1298180 1567345 1622725 1929040 1997200 2411300 2496500 2507752 2596360 3014125 3134690 3245450 4822600 4993000 5015504 5192720 6028250 6269380 6490900 7836725 8113625 9645200 9986000 12056500 12538760 12981800 15673450 16227250 24113000 25077520 25963600 31346900 32454500 39183625 48226000 62693800 64909000 78367250 120396209 125387600 129818000 156734500 240792418 313469000 481584836 601981045 626938000 963169672 1203962090 1565150717 1926339344 2407924180 3009905225 3130301434 4815848360 6019810450 6260602868 7825753585 9631696720 12039620900 12521205736 15049526125 15651507170 24079241800 25042411472 30099052250 31303014340 39128767925 48158483600 60198104500 62606028680 78257535850 120396209000 125212057360 156515071700 195643839625 240792418000 313030143400 391287679250 626060286800 782575358500 1565150717000 3130301434000