Search a number
-
+
240024423211320 = 233511424861427991
BaseRepresentation
bin110110100100110100001010…
…011110111010000100111000
31011110212002222202010202101010
4312210310022132322010320
5222430030004320230240
62210253410415553520
7101362122651266136
oct6644641236720470
91143762882122333
10240024423211320
116a52a87152a590
1222b0641182b8a0
13a3c128a730277
14433b35ba22756
151cb38bcee8280
hexda4d0a7ba138

240024423211320 has 128 divisors (see below), whose sum is σ = 785538160289280. Its totient is φ = 58187466048000.

The previous prime is 240024423211301. The next prime is 240024423211337. The reversal of 240024423211320 is 23112324420042.

It is a super-2 number, since 2×2400244232113202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560602525 + ... + 561030515.

It is an arithmetic number, because the mean of its divisors is an integer number (6137016877260).

Almost surely, 2240024423211320 is an apocalyptic number.

240024423211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240024423211320 is an abundant number, since it is smaller than the sum of its proper divisors (545513737077960).

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

240024423211320 is a wasteful number, since it uses less digits than its factorization.

240024423211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852877 (or 852873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 240024423211320 its reverse (23112324420042), we get a palindrome (263136747631362).

The spelling of 240024423211320 in words is "two hundred forty trillion, twenty-four billion, four hundred twenty-three million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 424861 427991 849722 855982 1274583 1283973 1699444 1711964 2124305 2139955 2549166 2567946 3398888 3423928 4248610 4279910 4673471 4707901 5098332 5135892 6372915 6419865 8497220 8559820 9346942 9415802 10196664 10271784 12745830 12839730 14020413 14123703 16994440 17119640 18693884 18831604 23367355 23539505 25491660 25679460 28040826 28247406 37387768 37663208 46734710 47079010 50983320 51358920 56081652 56494812 70102065 70618515 93469420 94158020 112163304 112989624 140204130 141237030 186938840 188316040 280408260 282474060 560816520 564948120 181836684251 363673368502 545510052753 727346737004 909183421255 1091020105506 1454693474008 1818366842510 2000203526761 2182040211012 2727550263765 3636733685020 4000407053522 4364080422024 5455100527530 6000610580283 7273467370040 8000814107044 10001017633805 10910201055060 12001221160566 16001628214088 20002035267610 21820402110120 24002442321132 30003052901415 40004070535220 48004884642264 60006105802830 80008141070440 120012211605660 240024423211320