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234615654640 = 24541714212393
BaseRepresentation
bin1101101010000000101…
…1101100100011110000
3211102120202202010201101
43122200023230203300
512320443101422030
6255440403414144
722643665105633
oct3324013544360
9742522663641
10234615654640
1190555469944
1239578384354
131917ca22b63
14b4d953dc1a
1561823d47ca
hex36a02ec8f0

234615654640 has 160 divisors (see below), whose sum is σ = 568239380352. Its totient is φ = 90015744000.

The previous prime is 234615654619. The next prime is 234615654659. The reversal of 234615654640 is 46456516432.

234615654640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98041284 + ... + 98043676.

Almost surely, 2234615654640 is an apocalyptic number.

234615654640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234615654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284119690176).

234615654640 is an abundant number, since it is smaller than the sum of its proper divisors (333623725712).

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

234615654640 is a wasteful number, since it uses less digits than its factorization.

234615654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 234615654640 in words is "two hundred thirty-four billion, six hundred fifteen million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 71 80 82 142 164 205 284 328 355 410 421 568 656 710 820 842 1136 1420 1640 1684 2105 2393 2840 2911 3280 3368 4210 4786 5680 5822 6736 8420 9572 11644 11965 14555 16840 17261 19144 23288 23930 29110 29891 33680 34522 38288 46576 47860 58220 59782 69044 86305 95720 98113 116440 119564 138088 149455 169903 172610 191440 196226 232880 239128 276176 298910 339806 345220 392452 478256 490565 597820 679612 690440 784904 849515 981130 1007453 1195640 1225531 1359224 1380880 1569808 1699030 1962260 2014906 2391280 2451062 2718448 3398060 3924520 4029812 4902124 5037265 6127655 6796120 6966023 7849040 8059624 9804248 10074530 12255310 13592240 13932046 16119248 19608496 20149060 24510620 27864092 34830115 40298120 41305573 49021240 55728184 69660230 71529163 80596240 82611146 98042480 111456368 139320460 143058326 165222292 206527865 278640920 286116652 330444584 357645815 413055730 557281840 572233304 660889168 715291630 826111460 1144466608 1430583260 1652222920 2861166520 2932695683 3304445840 5722333040 5865391366 11730782732 14663478415 23461565464 29326956830 46923130928 58653913660 117307827320 234615654640