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3145130120000 = 2654117148023
BaseRepresentation
bin101101110001001000010…
…111010001001101000000
3102010200010112012020211202
4231301020113101031000
5403012211302320000
610404504113400332
7443141153631341
oct55611027211500
912120115166752
103145130120000
111002929a60a10
124296698690a8
1319a77a1aba5b
14ac3219b80c8
1556c2aa20dd5
hex2dc485d1340

3145130120000 has 140 divisors (see below), whose sum is σ = 8507892677856. Its totient is φ = 1143683520000.

The previous prime is 3145130119981. The next prime is 3145130120003. The reversal of 3145130120000 is 210315413.

It is a super-3 number, since 3×31451301200003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145130120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3134012 + ... + 4014011.

Almost surely, 23145130120000 is an apocalyptic number.

It is an amenable number.

3145130120000 is an abundant number, since it is smaller than the sum of its proper divisors (5362762557856).

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

3145130120000 is an equidigital number, since it uses as much as digits as its factorization.

3145130120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148066 (or 7148041 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 3145130120000 its reverse (210315413), we get a palindrome (3145340435413).

The spelling of 3145130120000 in words is "three trillion, one hundred forty-five billion, one hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 7148023 14296046 28592092 35740115 57184184 71480230 78628253 114368368 142960460 157256506 178700575 228736736 285920920 314513012 357401150 393141265 457473472 571841840 629026024 714802300 786282530 893502875 1143683680 1258052048 1429604600 1572565060 1787005750 1965706325 2287367360 2516104096 2859209200 3145130120 3574011500 3931412650 4467514375 5032208192 5718418400 6290260240 7148023000 7862825300 8935028750 9828531625 11436836800 12580520480 14296046000 15725650600 17870057500 19657063250 25161040960 28592092000 31451301200 35740115000 39314126500 49142658125 57184184000 62902602400 71480230000 78628253000 98285316250 125805204800 142960460000 157256506000 196570632500 285920920000 314513012000 393141265000 629026024000 786282530000 1572565060000 3145130120000