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40134563144104 = 231113311112805981
BaseRepresentation
bin10010010000000100011100…
…11000010010000110101000
312021002211022201012222212111
421020002032120102012220
520230031041131102404
6221205321435252104
711311424613642142
oct1110021630220650
9167084281188774
1040134563144104
1111873a77652980
12460241bbaa034
131951899953b60
149ca747a09c92
15498ed3493104
hex24808e6121a8

40134563144104 has 64 divisors (see below), whose sum is σ = 88692575287680. Its totient is φ = 16785529824000.

The previous prime is 40134563144089. The next prime is 40134563144107. The reversal of 40134563144104 is 40144136543104.

It is a super-2 number, since 2×401345631441042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40134563144107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56047207 + ... + 56758774.

It is an arithmetic number, because the mean of its divisors is an integer number (1385821488870).

Almost surely, 240134563144104 is an apocalyptic number.

40134563144104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40134563144104 is an abundant number, since it is smaller than the sum of its proper divisors (48558012143576).

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

40134563144104 is a wasteful number, since it uses less digits than its factorization.

40134563144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112806322 (or 112806318 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 40134563144104 its reverse (40144136543104), we get a palindrome (80278699687208).

The spelling of 40134563144104 in words is "forty trillion, one hundred thirty-four billion, five hundred sixty-three million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 311 572 622 1144 1244 2488 3421 4043 6842 8086 13684 16172 27368 32344 44473 88946 177892 355784 112805981 225611962 451223924 902447848 1240865791 1466477753 2481731582 2932955506 4963463164 5865911012 9926926328 11731822024 16131255283 32262510566 35082660091 64525021132 70165320182 129050042264 140330640364 280661280728 385909261001 456074581183 771818522002 912149162366 1543637044004 1824298324732 3087274088008 3648596649464 5016820393013 10033640786026 20067281572052 40134563144104