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40300024024 = 23131925779357
BaseRepresentation
bin100101100010000100…
…011001000011011000
310212000120121100002101
4211202010121003120
51130013301232044
630302533213144
72624446360261
oct454204310330
9125016540071
1040300024024
1116100349587
1279884911b4
133a5328b280
141d44389968
1510aceeccd4
hex9621190d8

40300024024 has 64 divisors (see below), whose sum is σ = 85992328800. Its totient is φ = 17552277504.

The previous prime is 40300023977. The next prime is 40300024027. The reversal of 40300024024 is 42042000304.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 40300023992 and 40300024010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40300024027) by changing a digit.

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, 468154 + ... + 547510.

Almost surely, 240300024024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40300024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42996164400).

40300024024 is an abundant number, since it is smaller than the sum of its proper divisors (45692304776).

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

40300024024 is a wasteful number, since it uses less digits than its factorization.

40300024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79652 (or 79648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 40300024024 its reverse (42042000304), we get a palindrome (82342024328).

The spelling of 40300024024 in words is "forty billion, three hundred million, twenty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 257 494 514 988 1028 1976 2056 3341 4883 6682 9766 13364 19532 26728 39064 63479 79357 126958 158714 253916 317428 507832 634856 1031641 1507783 2063282 3015566 4126564 6031132 8253128 12062264 19601179 20394749 39202358 40789498 78404716 81578996 156809432 163157992 265131737 387500231 530263474 775000462 1060526948 1550000924 2121053896 3100001848 5037503003 10075006006 20150012012 40300024024