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40404222324420 = 22351754173219931
BaseRepresentation
bin10010010111111010101110…
…10100011010111011000100
312022001121100201112200112020
421023331113110122323010
520243440321403340140
6221533235443323140
711340052203105333
oct1113752724327304
9168047321480466
1040404222324420
1111968375191289
1246467383804b0
1319711428c9c06
149d9809345d1a
154a10171546d0
hex24bf5751aec4

40404222324420 has 96 divisors (see below), whose sum is σ = 120008054307456. Its totient is φ = 10121923123200.

The previous prime is 40404222324409. The next prime is 40404222324439. The reversal of 40404222324420 is 2442322240404.

It is a happy number.

It is a super-4 number, since 4×404042223244204 (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36058146 + ... + 37161785.

It is an arithmetic number, because the mean of its divisors is an integer number (1250083899036).

Almost surely, 240404222324420 is an apocalyptic number.

It is an amenable number.

40404222324420 is an abundant number, since it is smaller than the sum of its proper divisors (79603831983036).

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

40404222324420 is a wasteful number, since it uses less digits than its factorization.

40404222324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73220501 (or 73220499 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 40404222324420 its reverse (2442322240404), we get a palindrome (42846544564824).

The spelling of 40404222324420 in words is "forty trillion, four hundred four billion, two hundred twenty-two million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 541 1020 1082 1623 2164 2705 3246 5410 6492 8115 9197 10820 16230 18394 27591 32460 36788 45985 55182 91970 110364 137955 183940 275910 551820 73219931 146439862 219659793 292879724 366099655 439319586 732199310 878639172 1098298965 1244738827 1464398620 2196597930 2489477654 3734216481 4393195860 4978955308 6223694135 7468432962 12447388270 14936865924 18671082405 24894776540 37342164810 39611982671 74684329620 79223965342 118835948013 158447930684 198059913355 237671896026 396119826710 475343792052 594179740065 673403705407 792239653420 1188359480130 1346807410814 2020211116221 2376718960260 2693614821628 3367018527035 4040422232442 6734037054070 8080844464884 10101055581105 13468074108140 20202111162210 40404222324420