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40195960272 = 24321339195479
BaseRepresentation
bin100101011011110111…
…011010110111010000
310211202022210100110100
4211123313122313100
51124310131212042
630244334532400
72622044011356
oct453367326720
9124668710410
1040195960272
1116057631986
127959667100
133a37853ba0
141d3461b7d6
1510a3ce424c
hex95bddadd0

40195960272 has 120 divisors (see below), whose sum is σ = 121199187200. Its totient is φ = 12362575104.

The previous prime is 40195960241. The next prime is 40195960303. The reversal of 40195960272 is 27206959104.

40195960272 is a `hidden beast` number, since 40 + 19 + 596 + 0 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40195960241) and next prime (40195960303).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7333629 + ... + 7339107.

Almost surely, 240195960272 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 40195960272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60599593600).

40195960272 is an abundant number, since it is smaller than the sum of its proper divisors (81003226928).

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

40195960272 is a wasteful number, since it uses less digits than its factorization.

40195960272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 40195960272 in words is "forty billion, one hundred ninety-five million, nine hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 3919 5479 7838 10958 11757 15676 16437 21916 23514 31352 32874 35271 43832 47028 49311 50947 62704 65748 70542 71227 87664 94056 98622 101894 131496 141084 142454 152841 188112 197244 203788 213681 262992 282168 284908 305682 394488 407576 427362 458523 564336 569816 611364 641043 788976 815152 854724 917046 1139632 1222728 1282086 1709448 1834092 2445456 2564172 3418896 3668184 5128344 7336368 10256688 21472201 42944402 64416603 85888804 128833206 171777608 193249809 257666412 279138613 343555216 386499618 515332824 558277226 772999236 837415839 1030665648 1116554452 1545998472 1674831678 2233108904 2512247517 3091996944 3349663356 4466217808 5024495034 6699326712 10048990068 13398653424 20097980136 40195960272