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4135521235140 = 2232571931954267
BaseRepresentation
bin111100001011100000010…
…001100011000011000100
3112122100111120210202022100
4330023200101203003010
51020224021414011030
612443455432232100
7604532033333661
oct74134021430304
915570446722270
104135521235140
111354956a19449
125695a983b630
1323cc9380a5b9
14104235bcca68
15728938d5360
hex3c2e04630c4

4135521235140 has 72 divisors (see below), whose sum is σ = 12561861836160. Its totient is φ = 1101271823424.

The previous prime is 4135521235007. The next prime is 4135521235151. The reversal of 4135521235140 is 415321255314.

4135521235140 is a `hidden beast` number, since 4 + 1 + 3 + 55 + 212 + 351 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4135521235095 and 4135521235104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15847714 + ... + 16106553.

It is an arithmetic number, because the mean of its divisors is an integer number (174470303280).

Almost surely, 24135521235140 is an apocalyptic number.

It is an amenable number.

4135521235140 is an abundant number, since it is smaller than the sum of its proper divisors (8426340601020).

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

4135521235140 is a wasteful number, since it uses less digits than its factorization.

4135521235140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31955001 (or 31954996 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 4135521235140 in words is "four trillion, one hundred thirty-five billion, five hundred twenty-one million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 719 1438 2157 2876 3595 4314 6471 7190 8628 10785 12942 14380 21570 25884 32355 43140 64710 129420 31954267 63908534 95862801 127817068 159771335 191725602 287588403 319542670 383451204 479314005 575176806 639085340 958628010 1150353612 1437942015 1917256020 2875884030 5751768060 22975117973 45950235946 68925353919 91900471892 114875589865 137850707838 206776061757 229751179730 275701415676 344626769595 413552123514 459502359460 689253539190 827104247028 1033880308785 1378507078380 2067760617570 4135521235140