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4121207507040 = 253513660449921
BaseRepresentation
bin111011111110001011000…
…111000000100001100000
3112120222120001000000200120
4323332023013000201200
51020010213110211130
612433131231320240
7603514235551161
oct73761307004140
915528501000616
104121207507040
11134988121a698
12566874080080
1323b8222051c0
14103678bab768
1572306e80910
hex3bf8b1c0860

4121207507040 has 96 divisors (see below), whose sum is σ = 13980403948896. Its totient is φ = 1014451077120.

The previous prime is 4121207507033. The next prime is 4121207507083. The reversal of 4121207507040 is 407057021214.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4121207506992 and 4121207507010.

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 15 ways as a sum of consecutive naturals, for example, 330218721 + ... + 330231200.

It is an arithmetic number, because the mean of its divisors is an integer number (145629207801).

Almost surely, 24121207507040 is an apocalyptic number.

4121207507040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121207507040 is an abundant number, since it is smaller than the sum of its proper divisors (9859196441856).

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

4121207507040 is a wasteful number, since it uses less digits than its factorization.

4121207507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660449952 (or 660449944 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 4121207507040 in words is "four trillion, one hundred twenty-one billion, two hundred seven million, five hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 660449921 1320899842 1981349763 2641799684 3302249605 3962699526 5283599368 6604499210 7925399052 8585848973 9906748815 10567198736 13208998420 15850798104 17171697946 19813497630 21134397472 25757546919 26417996840 31701596208 34343395892 39626995260 42929244865 51515093838 52835993680 63403192416 68686791784 79253990520 85858489730 103030187676 105671987360 128787734595 137373583568 158507981040 171716979460 206060375352 257575469190 274747167136 317015962080 343433958920 412120750704 515150938380 686867917840 824241501408 1030301876760 1373735835680 2060603753520 4121207507040