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40542090800 = 2452234406749
BaseRepresentation
bin100101110000011111…
…110011011000110000
310212122110002121021112
4211300133303120300
51131012233401200
630342541412452
72633446041311
oct456037633060
9125573077245
1040542090800
1116214a53972
127a3556a128
133a91483a53
141d6859c608
1510c43b6535
hex9707f3630

40542090800 has 60 divisors (see below), whose sum is σ = 101637282000. Its totient is φ = 15511752960.

The previous prime is 40542090791. The next prime is 40542090829. The reversal of 40542090800 is 809024504.

40542090800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×405420908002 (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 11 ways as a sum of consecutive naturals, for example, 2194175 + ... + 2212574.

It is an arithmetic number, because the mean of its divisors is an integer number (1693954700).

Almost surely, 240542090800 is an apocalyptic number.

40542090800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40542090800 is an abundant number, since it is smaller than the sum of its proper divisors (61095191200).

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

40542090800 is a wasteful number, since it uses less digits than its factorization.

40542090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406790 (or 4406779 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 40542090800 in words is "forty billion, five hundred forty-two million, ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 4406749 8813498 17626996 22033745 35253992 44067490 70507984 88134980 101355227 110168725 176269960 202710454 220337450 352539920 405420908 440674900 506776135 810841816 881349800 1013552270 1621683632 1762699600 2027104540 2533880675 4054209080 5067761350 8108418160 10135522700 20271045400 40542090800