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40133244240 = 24325265920963
BaseRepresentation
bin100101011000001000…
…001011010101010000
310211120221210001020100
4211120020023111100
51124143102303430
630234214412400
72620352642655
oct453010132520
9124527701210
1040133244240
1116025196451
127940661100
133a278658cb
141d2a173c2c
15109d556960
hex95820b550

40133244240 has 120 divisors (see below), whose sum is σ = 134837932320. Its totient is φ = 10697663232.

The previous prime is 40133244227. The next prime is 40133244251. The reversal of 40133244240 is 4244233104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×401332442402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1903999 + ... + 1924961.

It is an arithmetic number, because the mean of its divisors is an integer number (1123649436).

Almost surely, 240133244240 is an apocalyptic number.

40133244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40133244240 is an abundant number, since it is smaller than the sum of its proper divisors (94704688080).

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

40133244240 is a wasteful number, since it uses less digits than its factorization.

40133244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23641 (or 23632 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40133244240 its reverse (4244233104), we get a palindrome (44377477344).

The spelling of 40133244240 in words is "forty billion, one hundred thirty-three million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2659 5318 7977 10636 13295 15954 20963 21272 23931 26590 31908 39885 41926 42544 47862 53180 62889 63816 79770 83852 95724 104815 106360 119655 125778 127632 159540 167704 188667 191448 209630 212720 239310 251556 314445 319080 335408 377334 382896 419260 478620 503112 628890 638160 754668 838520 943335 957240 1006224 1257780 1509336 1677040 1886670 1914480 2515560 3018672 3773340 5031120 7546680 15093360 55740617 111481234 167221851 222962468 278703085 334443702 445924936 501665553 557406170 668887404 836109255 891849872 1003331106 1114812340 1337774808 1672218510 2006662212 2229624680 2508327765 2675549616 3344437020 4013324424 4459249360 5016655530 6688874040 8026648848 10033311060 13377748080 20066622120 40133244240