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42004202440440 = 2335350035020337
BaseRepresentation
bin10011000110011110111011…
…00100001100011011111000
312111201120012002101221210210
421203033131210030123320
521001144101311043230
6225200244134111120
711563463202515532
oct1143173544143370
9174646162357723
1042004202440440
1112424978259629
1248648424ab4a0
131a58c96680586
14a5302b138852
154cc95bb0beb0
hex2633dd90c6f8

42004202440440 has 32 divisors (see below), whose sum is σ = 126012607321680. Its totient is φ = 11201120650752.

The previous prime is 42004202440393. The next prime is 42004202440457. The reversal of 42004202440440 is 4404420240024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42004202440398 and 42004202440407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175017510049 + ... + 175017510288.

Almost surely, 242004202440440 is an apocalyptic number.

42004202440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004202440440 is an abundant number, since it is smaller than the sum of its proper divisors (84008404881240).

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

42004202440440 is a wasteful number, since it uses less digits than its factorization.

42004202440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350035020351 (or 350035020347 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42004202440440 its reverse (4404420240024), we get a palindrome (46408622680464).

The spelling of 42004202440440 in words is "forty-two trillion, four billion, two hundred two million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 350035020337 700070040674 1050105061011 1400140081348 1750175101685 2100210122022 2800280162696 3500350203370 4200420244044 5250525305055 7000700406740 8400840488088 10501050610110 14001400813480 21002101220220 42004202440440