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40135531040 = 2551136762137
BaseRepresentation
bin100101011000010000…
…111001101000100000
310211121010002020010122
4211120100321220200
51124144143443130
630234335415412
72620411246013
oct453020715040
9124533066118
1040135531040
1116026508570
127941384568
133a28186747
141d2a5ab37a
15109d8592e5
hex958439a20

40135531040 has 96 divisors (see below), whose sum is σ = 103723732224. Its totient is φ = 14554736640.

The previous prime is 40135531021. The next prime is 40135531067. The reversal of 40135531040 is 4013553104.

It is a super-2 number, since 2×401355310402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614852 + ... + 676988.

It is an arithmetic number, because the mean of its divisors is an integer number (1080455544).

Almost surely, 240135531040 is an apocalyptic number.

40135531040 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 40135531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861866112).

40135531040 is an abundant number, since it is smaller than the sum of its proper divisors (63588201184).

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

40135531040 is a wasteful number, since it uses less digits than its factorization.

40135531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62530 (or 62522 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 40135 and 531040, that added together give a palindrome (571175).

The spelling of 40135531040 in words is "forty billion, one hundred thirty-five million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 367 440 734 880 1468 1760 1835 2936 3670 4037 5872 7340 8074 11744 14680 16148 20185 29360 32296 40370 58720 62137 64592 80740 124274 129184 161480 248548 310685 322960 497096 621370 645920 683507 994192 1242740 1367014 1988384 2485480 2734028 3417535 4970960 5468056 6835070 9941920 10936112 13670140 21872224 22804279 27340280 45608558 54680560 91217116 109361120 114021395 182434232 228042790 250847069 364868464 456085580 501694138 729736928 912171160 1003388276 1254235345 1824342320 2006776552 2508470690 3648684640 4013553104 5016941380 8027106208 10033882760 20067765520 40135531040