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40190574144 = 2637191573879
BaseRepresentation
bin100101011011100010…
…110111111001000000
310211201221122201002010
4211123202313321000
51124302241333034
630244023252520
72621650146360
oct453342677100
9124657581063
1040190574144
1116054593236
1279578aa140
133a366b9426
141d33a189a0
1510a35cd3e9
hex95b8b7e40

40190574144 has 112 divisors (see below), whose sum is σ = 127924966400. Its totient is φ = 10878644736.

The previous prime is 40190574139. The next prime is 40190574167. The reversal of 40190574144 is 44147509104.

40190574144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×401905741442 (a number of 22 digits) contains 22 as substring.

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, 761404 + ... + 812475.

It is an arithmetic number, because the mean of its divisors is an integer number (1142187200).

Almost surely, 240190574144 is an apocalyptic number.

It is an amenable number.

40190574144 is an abundant number, since it is smaller than the sum of its proper divisors (87734392256).

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

40190574144 is a wasteful number, since it uses less digits than its factorization.

40190574144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573920 (or 1573910 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 40190574144 in words is "forty billion, one hundred ninety million, five hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 1573879 3147758 4721637 6295516 9443274 11017153 12591032 18886548 22034306 25182064 29903701 33051459 37773096 44068612 50364128 59807402 66102918 75546192 88137224 89711103 100728256 119614804 132205836 151092384 176274448 179422206 209325907 239229608 264411672 302184768 352548896 358844412 418651814 478459216 528823344 627977721 705097792 717688824 837303628 956918432 1057646688 1255955442 1435377648 1674607256 1913836864 2115293376 2511910884 2870755296 3349214512 5023821768 5741510592 6698429024 10047643536 13396858048 20095287072 40190574144