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234433537104 = 243131919773409
BaseRepresentation
bin1101101001010101010…
…0111110010001010000
3211102010002001121102110
43122111110332101100
512320104441141404
6255410340145320
722636324121004
oct3322524762120
9742102047373
10234433537104
1190471690288
1239527398240
131915108a1c0
14b4bd294704
15617140db89
hex369553e450

234433537104 has 80 divisors (see below), whose sum is σ = 686532795200. Its totient is φ = 68336898048.

The previous prime is 234433537099. The next prime is 234433537127. The reversal of 234433537104 is 401735334432.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 9874849 + ... + 9898560.

It is an arithmetic number, because the mean of its divisors is an integer number (8581659940).

Almost surely, 2234433537104 is an apocalyptic number.

234433537104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234433537104 is an abundant number, since it is smaller than the sum of its proper divisors (452099258096).

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

234433537104 is a wasteful number, since it uses less digits than its factorization.

234433537104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19773452 (or 19773446 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The spelling of 234433537104 in words is "two hundred thirty-four billion, four hundred thirty-three million, five hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 19773409 39546818 59320227 79093636 118640454 158187272 237280908 257054317 316374544 375694771 474561816 514108634 751389542 771162951 949123632 1028217268 1127084313 1502779084 1542325902 2056434536 2254168626 3005558168 3084651804 4112869072 4508337252 4884032023 6011116336 6169303608 9016674504 9768064046 12338607216 14652096069 18033349008 19536128092 29304192138 39072256184 58608384276 78144512368 117216768552 234433537104