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234024211124032 = 2673457151106587
BaseRepresentation
bin110101001101100000000001…
…111110010000111101000000
31010200121111101122112001102011
4311031200001332100331000
5221133223041021432112
62145421123255102304
7100202456054125450
oct6515400176207500
91120544348461364
10234024211124032
11686271241a988a
12222b7562971994
13a077508473544
1441b0b919c5d60
151c0c790619aa7
hexd4d801f90f40

234024211124032 has 56 divisors (see below), whose sum is σ = 530887006604864. Its totient is φ = 100267077353472.

The previous prime is 234024211123979. The next prime is 234024211124107. The reversal of 234024211124032 is 230421112420432.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 234024211123985 and 234024211124003.

It is a congruent number.

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, 74004558 + ... + 77102029.

It is an arithmetic number, because the mean of its divisors is an integer number (9480125117944).

Almost surely, 2234024211124032 is an apocalyptic number.

It is an amenable number.

234024211124032 is an abundant number, since it is smaller than the sum of its proper divisors (296862795480832).

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

234024211124032 is a wasteful number, since it uses less digits than its factorization.

234024211124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151110063 (or 151110053 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 234024211124032 its reverse (230421112420432), we get a palindrome (464445323544464).

The spelling of 234024211124032 in words is "two hundred thirty-four trillion, twenty-four billion, two hundred eleven million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 3457 6914 13828 24199 27656 48398 55312 96796 110624 193592 221248 387184 774368 1548736 151106587 302213174 604426348 1057746109 1208852696 2115492218 2417705392 4230984436 4835410784 8461968872 9670821568 16923937744 33847875488 67695750976 522375471259 1044750942518 2089501885036 3656628298813 4179003770072 7313256597626 8358007540144 14626513195252 16716015080288 29253026390504 33432030160576 58506052781008 117012105562016 234024211124032