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21042131402040 = 23357129531933927
BaseRepresentation
bin1001100100011010000001…
…10001000111110100111000
32202111121102022112220120120
410302031000301013310320
510224223241114331130
6112430342142453240
74301146426543560
oct462150061076470
982447368486516
1021042131402040
116782a10677961
12243a133294220
13b98359095b68
1452a631d73da0
1526754a2a0910
hex132340c47d38

21042131402040 has 128 divisors (see below), whose sum is σ = 72150057538560. Its totient is φ = 4809256233984.

The previous prime is 21042131402023. The next prime is 21042131402111. The reversal of 21042131402040 is 4020413124012.

It is a super-2 number, since 2×210421314020402 (a number of 27 digits) contains 22 as substring.

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 21042131402040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9913557 + ... + 11847483.

It is an arithmetic number, because the mean of its divisors is an integer number (563672324520).

Almost surely, 221042131402040 is an apocalyptic number.

21042131402040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21042131402040 is an abundant number, since it is smaller than the sum of its proper divisors (51107926136520).

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

21042131402040 is a wasteful number, since it uses less digits than its factorization.

21042131402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946901 (or 1946897 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21042131402040 its reverse (4020413124012), we get a palindrome (25062544526052).

The spelling of 21042131402040 in words is "twenty-one trillion, forty-two billion, one hundred thirty-one million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12953 25906 38859 51812 64765 77718 90671 103624 129530 155436 181342 194295 259060 272013 310872 362684 388590 453355 518120 544026 725368 777180 906710 1088052 1360065 1554360 1813420 1933927 2176104 2720130 3626840 3867854 5440260 5801781 7735708 9669635 10880520 11603562 13537489 15471416 19339270 23207124 27074978 29008905 38678540 40612467 46414248 54149956 58017810 67687445 77357080 81224934 108299912 116035620 135374890 162449868 203062335 232071240 270749780 324899736 406124670 541499560 812249340 1624498680 25050156431 50100312862 75150469293 100200625724 125250782155 150300938586 175351095017 200401251448 250501564310 300601877172 350702190034 375752346465 501003128620 526053285051 601203754344 701404380068 751504692930 876755475085 1002006257240 1052106570102 1402808760136 1503009385860 1753510950170 2104213140204 2630266425255 3006018771720 3507021900340 4208426280408 5260532850510 7014043800680 10521065701020 21042131402040