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40425092880 = 24351729341659
BaseRepresentation
bin100101101001100001…
…011111011100010000
310212100021221111022020
4211221201133130100
51130242310433010
630323202011440
72630525422434
oct455141373420
9125307844266
1040425092880
1116164a02677
127a02346b80
133a7316b403
141d56c249c4
1510b8ea5470
hex96985f710

40425092880 has 160 divisors (see below), whose sum is σ = 137265321600. Its totient is φ = 9796018176.

The previous prime is 40425092857. The next prime is 40425092881. The reversal of 40425092880 is 8829052404.

It is not an unprimeable number, because it can be changed into a prime (40425092881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52510 + ... + 289149.

It is an arithmetic number, because the mean of its divisors is an integer number (857908260).

Almost surely, 240425092880 is an apocalyptic number.

40425092880 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 40425092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68632660800).

40425092880 is an abundant number, since it is smaller than the sum of its proper divisors (96840228720).

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

40425092880 is a wasteful number, since it uses less digits than its factorization.

40425092880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341721 (or 341715 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 40425092880 in words is "forty billion, four hundred twenty-five million, ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 34 40 48 51 58 60 68 80 85 87 102 116 120 136 145 170 174 204 232 240 255 272 290 340 348 408 435 464 493 510 580 680 696 816 870 986 1020 1160 1360 1392 1479 1740 1972 2040 2320 2465 2958 3480 3944 4080 4930 5916 6960 7395 7888 9860 11832 14790 19720 23664 29580 39440 59160 118320 341659 683318 1024977 1366636 1708295 2049954 2733272 3416590 4099908 5124885 5466544 5808203 6833180 8199816 9908111 10249770 11616406 13666360 16399632 17424609 19816222 20499540 23232812 27332720 29041015 29724333 34849218 39632444 40999080 46465624 49540555 58082030 59448666 69698436 79264888 81998160 87123045 92931248 99081110 116164060 118897332 139396872 148621665 158529776 168437887 174246090 198162220 232328120 237794664 278793744 297243330 336875774 348492180 396324440 464656240 475589328 505313661 594486660 673751548 696984360 792648880 842189435 1010627322 1188973320 1347503096 1393968720 1684378870 2021254644 2377946640 2526568305 2695006192 3368757740 4042509288 5053136610 6737515480 8085018576 10106273220 13475030960 20212546440 40425092880