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42015000440 = 2357251597823
BaseRepresentation
bin100111001000010010…
…100000011101111000
311000110002122011110102
4213020102200131320
51142021320003230
631145035134532
73015112416440
oct471022403570
9130402564412
1042015000440
1116900410766
1281868a4448
133c6767c50a
14206804d120
15115d85e045
hex9c84a0778

42015000440 has 64 divisors (see below), whose sum is σ = 108469186560. Its totient is φ = 14347728000.

The previous prime is 42015000407. The next prime is 42015000463. The reversal of 42015000440 is 4400051024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228632 + ... + 369191.

It is an arithmetic number, because the mean of its divisors is an integer number (1694831040).

Almost surely, 242015000440 is an apocalyptic number.

42015000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42015000440 is an abundant number, since it is smaller than the sum of its proper divisors (66454186120).

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

42015000440 is a wasteful number, since it uses less digits than its factorization.

42015000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598092 (or 598088 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 42015000440 its reverse (4400051024), we get a palindrome (46415051464).

The spelling of 42015000440 in words is "forty-two billion, fifteen million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 502 1004 1255 1757 2008 2510 3514 5020 7028 8785 10040 14056 17570 35140 70280 597823 1195646 2391292 2989115 4184761 4782584 5978230 8369522 11956460 16739044 20923805 23912920 33478088 41847610 83695220 150053573 167390440 300107146 600214292 750267865 1050375011 1200428584 1500535730 2100750022 3001071460 4201500044 5251875055 6002142920 8403000088 10503750110 21007500220 42015000440