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40468687884 = 22331729226209
BaseRepresentation
bin100101101100000111…
…110010110000001100
310212110022222100102000
4211230013302300030
51130334441003014
630331400232300
72631565112532
oct455407626014
9125408870360
1040468687884
11161875791a9
127a14a6b690
133a7c1c3381
141d5c932152
1510bcc17509
hex96c1f2c0c

40468687884 has 144 divisors (see below), whose sum is σ = 115057706400. Its totient is φ = 12257796096.

The previous prime is 40468687873. The next prime is 40468687937. The reversal of 40468687884 is 48878686404.

40468687884 is a `hidden beast` number, since 40 + 468 + 68 + 78 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1530972 + ... + 1557180.

It is an arithmetic number, because the mean of its divisors is an integer number (799011850).

Almost surely, 240468687884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40468687884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57528853200).

40468687884 is an abundant number, since it is smaller than the sum of its proper divisors (74589018516).

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

40468687884 is a wasteful number, since it uses less digits than its factorization.

40468687884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26297 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 40468687884 in words is "forty billion, four hundred sixty-eight million, six hundred eighty-seven thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 841 918 986 1044 1479 1566 1682 1836 1972 2523 2958 3132 3364 4437 5046 5916 7569 8874 10092 13311 14297 15138 17748 22707 26209 26622 28594 30276 42891 45414 52418 53244 57188 78627 85782 90828 104836 128673 157254 171564 235881 257346 314508 386019 445553 471762 514692 707643 760061 772038 891106 943524 1336659 1415286 1520122 1544076 1782212 2280183 2673318 2830572 3040244 4009977 4560366 5346636 6840549 8019954 9120732 12029931 12921037 13681098 16039908 20521647 22041769 24059862 25842074 27362196 38763111 41043294 44083538 48119724 51684148 66125307 77526222 82086588 88167076 116289333 132250614 155052444 198375921 232578666 264501228 348867999 374710073 396751842 465157332 595127763 697735998 749420146 793503684 1124130219 1190255526 1395471996 1498840292 2248260438 2380511052 3372390657 4496520876 6744781314 10117171971 13489562628 20234343942 40468687884