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42121020441432 = 2335334795429423
BaseRepresentation
bin10011001001111000100000…
…11101100000001101011000
312112010201201100002021021010
421210330100131200031120
521010102322213111212
6225330044001213520
711605100103243102
oct1144742035401530
9175121640067233
1042121020441432
111246a473a457a9
1248834046312a0
131a66cc255c69a
14a5894da20572
154d09e756d03c
hex264f10760358

42121020441432 has 64 divisors (see below), whose sum is σ = 107598584148480. Its totient is φ = 13735729284992.

The previous prime is 42121020441407. The next prime is 42121020441469. The reversal of 42121020441432 is 23414402012124.

It is a super-2 number, since 2×421210204414322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42121020441432.

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, 47273328 + ... + 48156095.

It is an arithmetic number, because the mean of its divisors is an integer number (1681227877320).

Almost surely, 242121020441432 is an apocalyptic number.

It is an amenable number.

42121020441432 is an abundant number, since it is smaller than the sum of its proper divisors (65477563707048).

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

42121020441432 is a wasteful number, since it uses less digits than its factorization.

42121020441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95429832 (or 95429828 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42121020441432 its reverse (23414402012124), we get a palindrome (65535422453556).

The spelling of 42121020441432 in words is "forty-two trillion, one hundred twenty-one billion, twenty million, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 347 424 636 694 1041 1272 1388 2082 2776 4164 8328 18391 36782 55173 73564 110346 147128 220692 441384 95429423 190858846 286288269 381717692 572576538 763435384 1145153076 2290306152 5057759419 10115518838 15173278257 20231037676 30346556514 33114009781 40462075352 60693113028 66228019562 99342029343 121386226056 132456039124 198684058686 264912078248 397368117372 794736234744 1755042518393 3510085036786 5265127555179 7020170073572 10530255110358 14040340147144 21060510220716 42121020441432