Search a number
-
+
240024020440 = 23529732834483
BaseRepresentation
bin1101111110001010001…
…0111110010111011000
3211221112200112120211211
43133202202332113120
512413032122123230
6302133203432504
723225006340151
oct3374242762730
9757480476754
10240024020440
1192880336146
123a627685734
1319832361ac9
14b88d942928
15639c10342a
hex37e28be5d8

240024020440 has 64 divisors (see below), whose sum is σ = 566329903200. Its totient is φ = 91429051392.

The previous prime is 240024020407. The next prime is 240024020507. The reversal of 240024020440 is 44020420042.

It is a super-2 number, since 2×2400240204402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332562 + ... + 1501921.

Almost surely, 2240024020440 is an apocalyptic number.

240024020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240024020440 is an abundant number, since it is smaller than the sum of its proper divisors (326305882760).

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

240024020440 is a wasteful number, since it uses less digits than its factorization.

240024020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834596 (or 2834592 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 240024020440 its reverse (44020420042), we get a palindrome (284044440482).

The spelling of 240024020440 in words is "two hundred forty billion, twenty-four million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1460 2117 2920 4234 8468 10585 16936 21170 42340 84680 2834483 5668966 11337932 14172415 22675864 28344830 56689660 82200007 113379320 164400014 206917259 328800028 411000035 413834518 657600056 822000070 827669036 1034586295 1644000140 1655338072 2069172590 3288000280 4138345180 6000600511 8276690360 12001201022 24002402044 30003002555 48004804088 60006005110 120012010220 240024020440