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240423040233144 = 23331797761916317
BaseRepresentation
bin110110101010100111011001…
…111010001010111010111000
31011112021012220001101112222000
4312222213121322022322320
5223003042341244430034
62211200453034101000
7101432664031130616
oct6652473172127270
91145235801345860
10240423040233144
116a673925439a0a
1222b6b71987a760
13a41ca4569c812
1443527742646b6
151cbde4d2b0599
hexdaa9d9e8aeb8

240423040233144 has 64 divisors (see below), whose sum is σ = 667878939002400. Its totient is φ = 80136554141952.

The previous prime is 240423040233133. The next prime is 240423040233151. The reversal of 240423040233144 is 441332040324042.

240423040233144 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 230 + 402 + 3 + 3 + 14 + 4 = 666.

It is a super-2 number, since 2×2404230402331442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240423040233099 and 240423040233108.

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, 27075127 + ... + 34841190.

Almost surely, 2240423040233144 is an apocalyptic number.

240423040233144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240423040233144 is an abundant number, since it is smaller than the sum of its proper divisors (427455898769256).

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

240423040233144 is a wasteful number, since it uses less digits than its factorization.

240423040233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61934309 (or 61934299 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 240423040233144 its reverse (441332040324042), we get a palindrome (681755080557186).

The spelling of 240423040233144 in words is "two hundred forty trillion, four hundred twenty-three billion, forty million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 17977 35954 53931 71908 107862 143816 161793 215724 323586 431448 485379 647172 970758 1294344 1941516 3883032 61916317 123832634 185748951 247665268 371497902 495330536 557246853 742995804 1114493706 1485991608 1671740559 2228987412 3343481118 4457974824 6686962236 13373924472 1113069630709 2226139261418 3339208892127 4452278522836 6678417784254 8904557045672 10017626676381 13356835568508 20035253352762 26713671137016 30052880029143 40070506705524 60105760058286 80141013411048 120211520116572 240423040233144