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20014200133440 = 263524179862241
BaseRepresentation
bin1001000110011111010110…
…10010100001011101000000
32121212100011000112000200220
410203033223102201131000
510110403040213232230
6110322221400143040
74133656352121552
oct443175322413500
977770130460626
1020014200133440
116416a7a22a507
1222b2a77167a80
13b2243c1c5866
144d299a14d4d2
1524a93684cd10
hex1233eb4a1740

20014200133440 has 112 divisors (see below), whose sum is σ = 63547787234880. Its totient is φ = 5336893112320.

The previous prime is 20014200133399. The next prime is 20014200133441. The reversal of 20014200133440 is 4433100241002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20014200133440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20014200133441) 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, 22780720 + ... + 23642960.

Almost surely, 220014200133440 is an apocalyptic number.

20014200133440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20014200133440 is an abundant number, since it is smaller than the sum of its proper divisors (43533587101440).

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

20014200133440 is a wasteful number, since it uses less digits than its factorization.

20014200133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886440 (or 886430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20014200133440 its reverse (4433100241002), we get a palindrome (24447300374442).

The spelling of 20014200133440 in words is "twenty trillion, fourteen billion, two hundred million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 24179 48358 72537 96716 120895 145074 193432 241790 290148 362685 386864 483580 580296 725370 773728 862241 967160 1160592 1450740 1547456 1724482 1934320 2321184 2586723 2901480 3448964 3868640 4311205 4642368 5173446 5802960 6897928 7737280 8622410 10346892 11605920 12933615 13795856 17244820 20693784 23211840 25867230 27591712 34489640 41387568 51734460 55183424 68979280 82775136 103468920 137958560 165550272 206937840 275917120 413875680 827751360 20848125139 41696250278 62544375417 83392500556 104240625695 125088750834 166785001112 208481251390 250177501668 312721877085 333570002224 416962502780 500355003336 625443754170 667140004448 833925005560 1000710006672 1250887508340 1334280008896 1667850011120 2001420013344 2501775016680 3335700022240 4002840026688 5003550033360 6671400044480 10007100066720 20014200133440