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230626410144 = 253131491240247
BaseRepresentation
bin1101011011001001100…
…1111011111010100000
3211001021202021112001020
43112302121323322200
512234310330111034
6253540500205440
722443065066334
oct3266231737240
9731252245036
10230626410144
1189898661469
1238844399880
13189953c8b60
14b23b7c97c4
155eec086249
hex35b267bea0

230626410144 has 96 divisors (see below), whose sum is σ = 656339241600. Its totient is φ = 70485660672.

The previous prime is 230626410139. The next prime is 230626410163. The reversal of 230626410144 is 441014626032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2306264101442 (a number of 24 digits) contains 22 as substring.

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, 434172 + ... + 806075.

It is an arithmetic number, because the mean of its divisors is an integer number (6836867100).

Almost surely, 2230626410144 is an apocalyptic number.

230626410144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230626410144 is an abundant number, since it is smaller than the sum of its proper divisors (425712831456).

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

230626410144 is a wasteful number, since it uses less digits than its factorization.

230626410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240422 (or 1240414 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 230626410144 in words is "two hundred thirty billion, six hundred twenty-six million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 298 312 416 447 596 624 894 1192 1248 1788 1937 2384 3576 3874 4768 5811 7152 7748 11622 14304 15496 23244 30992 46488 61984 92976 185952 1240247 2480494 3720741 4960988 7441482 9921976 14882964 16123211 19843952 29765928 32246422 39687904 48369633 59531856 64492844 96739266 119063712 128985688 184796803 193478532 257971376 369593606 386957064 515942752 554390409 739187212 773914128 1108780818 1478374424 1547828256 2217561636 2402358439 2956748848 4435123272 4804716878 5913497696 7207075317 8870246544 9609433756 14414150634 17740493088 19218867512 28828301268 38437735024 57656602536 76875470048 115313205072 230626410144