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234044802048 = 2103494315413
BaseRepresentation
bin1101100111111000101…
…0000100010000000000
3211101002222120211011210
43121332022010100000
512313310432131143
6255304012210120
722623563664441
oct3317612042000
9741088524153
10234044802048
1190292209942
1239439169940
13190bb691165
14b4837c32c8
15614c223033
hex367e284400

234044802048 has 88 divisors (see below), whose sum is σ = 623981409408. Its totient is φ = 77994090496.

The previous prime is 234044802037. The next prime is 234044802077. The reversal of 234044802048 is 840208440432.

It is a super-4 number, since 4×2340448020484 (a number of 47 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 234044801997 and 234044802015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15177190 + ... + 15192602.

Almost surely, 2234044802048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234044802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311990704704).

234044802048 is an abundant number, since it is smaller than the sum of its proper divisors (389936607360).

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

234044802048 is a wasteful number, since it uses less digits than its factorization.

234044802048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20361 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 234044802048 in words is "two hundred thirty-four billion, forty-four million, eight hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 4943 9886 14829 15413 19772 29658 30826 39544 46239 59316 61652 79088 92478 118632 123304 158176 184956 237264 246608 316352 369912 474528 493216 632704 739824 949056 986432 1265408 1479648 1898112 1972864 2530816 2959296 3796224 3945728 5061632 5918592 7592448 7891456 11837184 15184896 15782912 23674368 47348736 76186459 152372918 228559377 304745836 457118754 609491672 914237508 1218983344 1828475016 2437966688 3656950032 4875933376 7313900064 9751866752 14627800128 19503733504 29255600256 39007467008 58511200512 78014934016 117022401024 234044802048