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312000400200040 = 235136744211290643
BaseRepresentation
bin100011011110000110100000…
…1000001100001000101101000
31111220200221120100001221220021
41012330031001001201011220
5311343303304422400130
63023323001040010224
7122501166525236416
oct10674150101410550
91456627510057807
10312000400200040
119045a699096562
122abab926900974
13105126859a6056
145708c8562c2b6
152610ca698237a
hex11bc341061168

312000400200040 has 64 divisors (see below), whose sum is σ = 702673882796160. Its totient is φ = 124680560259840.

The previous prime is 312000400200031. The next prime is 312000400200059. The reversal of 312000400200040 is 40002004000213.

It is a junction number, because it is equal to n+sod(n) for n = 312000400199987 and 312000400200023.

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, 241094959 + ... + 242385601.

It is an arithmetic number, because the mean of its divisors is an integer number (10979279418690).

Almost surely, 2312000400200040 is an apocalyptic number.

It is an amenable number.

312000400200040 is an abundant number, since it is smaller than the sum of its proper divisors (390673482596120).

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

312000400200040 is a wasteful number, since it uses less digits than its factorization.

312000400200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296442 (or 1296438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 312000400200040 its reverse (40002004000213), we get a palindrome (352002404200253).

The spelling of 312000400200040 in words is "three hundred twelve trillion, four hundred million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1367 2734 4421 5468 6835 8842 10936 13670 17684 22105 27340 35368 44210 54680 88420 176840 1290643 2581286 5162572 6043507 6453215 10325144 12087014 12906430 24174028 25812860 30217535 48348056 51625720 60435070 120870140 241740280 1764308981 3528617962 5705932703 7057235924 8821544905 11411865406 14114471848 17643089810 22823730812 28529663515 35286179620 45647461624 57059327030 70572359240 114118654060 228237308120 7800010005001 15600020010002 31200040020004 39000050025005 62400080040008 78000100050010 156000200100020 312000400200040