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42594684440 = 23571189155387
BaseRepresentation
bin100111101010110101…
…110100111000011000
311001221111102011102012
4213222311310320120
51144213214400230
631322343525052
73035351562320
oct475265647030
9131844364365
1042594684440
1117078652950
128308a59788
13402a7b3bb9
1420c1028280
1511946b7395
hex9ead74e18

42594684440 has 128 divisors (see below), whose sum is σ = 120829708800. Its totient is φ = 13127009280.

The previous prime is 42594684401. The next prime is 42594684487. The reversal of 42594684440 is 4448649524.

It is a super-2 number, since 2×425946844402 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 196427 + ... + 351813.

It is an arithmetic number, because the mean of its divisors is an integer number (943982100).

Almost surely, 242594684440 is an apocalyptic number.

42594684440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42594684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60414854400).

42594684440 is an abundant number, since it is smaller than the sum of its proper divisors (78235024360).

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

42594684440 is a wasteful number, since it uses less digits than its factorization.

42594684440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155505 (or 155501 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 42594684440 in words is "forty-two billion, five hundred ninety-four million, six hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 89 110 140 154 178 220 280 308 356 385 440 445 616 623 712 770 890 979 1246 1540 1780 1958 2492 3080 3115 3560 3916 4895 4984 6230 6853 7832 9790 12460 13706 19580 24920 27412 34265 39160 54824 68530 137060 155387 274120 310774 621548 776935 1087709 1243096 1553870 1709257 2175418 3107740 3418514 4350836 5438545 6215480 6837028 8546285 8701672 10877090 11964799 13674056 13829443 17092570 21754180 23929598 27658886 34185140 43508360 47859196 55317772 59823995 68370280 69147215 95718392 96806101 110635544 119647990 138294430 152123873 193612202 239295980 276588860 304247746 387224404 478591960 484030505 553177720 608495492 760619365 774448808 968061010 1064867111 1216990984 1521238730 1936122020 2129734222 3042477460 3872244040 4259468444 5324335555 6084954920 8518936888 10648671110 21297342220 42594684440