Search a number
-
+
240132423434440 = 23559277367332227
BaseRepresentation
bin110110100110011000101111…
…110011000100000011001000
31011111020102202110121112120211
4312212120233303010003020
5222433312200344400230
62210415151251330504
7101402665211114245
oct6646305763040310
91144212673545524
10240132423434440
116a571652875729
1222b233328b0a34
13a3cb50c830534
1443426853a85cc
151cb65de77442a
hexda662fcc40c8

240132423434440 has 64 divisors (see below), whose sum is σ = 551439140673600. Its totient is φ = 94084068380928.

The previous prime is 240132423434419. The next prime is 240132423434461. The reversal of 240132423434440 is 44434324231042.

It is an interprime number because it is at equal distance from previous prime (240132423434419) and next prime (240132423434461).

It is a super-2 number, since 2×2401324234344402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 240132423434393 and 240132423434402.

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, 183012394 + ... + 184319833.

It is an arithmetic number, because the mean of its divisors is an integer number (8616236573025).

Almost surely, 2240132423434440 is an apocalyptic number.

240132423434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240132423434440 is an abundant number, since it is smaller than the sum of its proper divisors (311306717239160).

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

240132423434440 is a wasteful number, since it uses less digits than its factorization.

240132423434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367332574 (or 367332570 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 240132423434440 its reverse (44434324231042), we get a palindrome (284566747665482).

The spelling of 240132423434440 in words is "two hundred forty trillion, one hundred thirty-two billion, four hundred twenty-three million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 277 295 472 554 590 1108 1180 1385 2216 2360 2770 5540 11080 16343 32686 65372 81715 130744 163430 326860 653720 367332227 734664454 1469328908 1836661135 2938657816 3673322270 7346644540 14693289080 21672601393 43345202786 86690405572 101751026879 108363006965 173380811144 203502053758 216726013930 407004107516 433452027860 508755134395 814008215032 866904055720 1017510268790 2035020537580 4070041075160 6003310585861 12006621171722 24013242343444 30016552929305 48026484686888 60033105858610 120066211717220 240132423434440