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40024240200144 = 243523447578281
BaseRepresentation
bin10010001100110110111101…
…00111101001100111010000
312020201021120010010202200000
421012123132213221213100
520221224120442401034
6221042514311530000
711300440661252124
oct1106333647514720
9166637503122600
1040024240200144
1111831204188232
1245a4b71089900
131944367584a65
149c527d99d584
154961c7d58599
hex2466de9e99d0

40024240200144 has 120 divisors (see below), whose sum is σ = 121211360018112. Its totient is φ = 12761351919360.

The previous prime is 40024240200143. The next prime is 40024240200173. The reversal of 40024240200144 is 44100204242004.

40024240200144 is a `hidden beast` number, since 4 + 0 + 0 + 242 + 402 + 0 + 0 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40024240200143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223699717 + ... + 223878564.

Almost surely, 240024240200144 is an apocalyptic number.

It is an amenable number.

40024240200144 is an abundant number, since it is smaller than the sum of its proper divisors (81187119817968).

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

40024240200144 is a wasteful number, since it uses less digits than its factorization.

40024240200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447578327 (or 447578309 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40024240200144 its reverse (44100204242004), we get a palindrome (84124444442148).

The spelling of 40024240200144 in words is "forty trillion, twenty-four billion, two hundred forty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 3312 3726 3888 4968 5589 7452 9936 11178 14904 22356 29808 44712 89424 447578281 895156562 1342734843 1790313124 2685469686 3580626248 4028204529 5370939372 7161252496 8056409058 10294300463 10741878744 12084613587 16112818116 20588600926 21483757488 24169227174 30882901389 32225636232 36253840761 41177201852 48338454348 61765802778 64451272464 72507681522 82354403704 92648704167 96676908696 108761522283 123531605556 145015363044 164708807408 185297408334 193353817392 217523044566 247063211112 277946112501 290030726088 370594816668 435046089132 494126422224 555892225002 580061452176 741189633336 833838337503 870092178264 1111784450004 1482379266672 1667676675006 1740184356528 2223568900008 2501515012509 3335353350012 4447137800016 5003030025018 6670706700024 10006060050036 13341413400048 20012120100072 40024240200144