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232103465440440 = 233511241729609787
BaseRepresentation
bin110100110001100011001100…
…100110111101010010111000
31010102210212121120122121212020
4310301203030212331102320
5220410240344123043230
62141350505433114440
766613631150161356
oct6461431446752270
91112725546577766
10232103465440440
1167a56588352a50
1222047258b58a20
139c683556cb0a9
144145c20c447d6
151bc7825412810
hexd318cc9bd4b8

232103465440440 has 128 divisors (see below), whose sum is σ = 762763256766720. Its totient is φ = 56034031564800.

The previous prime is 232103465440439. The next prime is 232103465440501. The reversal of 232103465440440 is 44044564301232.

232103465440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232103465440392 and 232103465440401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364486774 + ... + 365123013.

It is an arithmetic number, because the mean of its divisors is an integer number (5959087943490).

Almost surely, 2232103465440440 is an apocalyptic number.

232103465440440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232103465440440 is an abundant number, since it is smaller than the sum of its proper divisors (530659791326280).

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

232103465440440 is a wasteful number, since it uses less digits than its factorization.

232103465440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729610053 (or 729610049 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 232103465440440 in words is "two hundred thirty-two trillion, one hundred three billion, four hundred sixty-five million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4820 5302 5784 7230 7953 9640 10604 13255 14460 15906 21208 26510 28920 31812 39765 53020 63624 79530 106040 159060 318120 729609787 1459219574 2188829361 2918439148 3648048935 4377658722 5836878296 7296097870 8025707657 8755317444 10944146805 14592195740 16051415314 17510634888 21888293610 24077122971 29184391480 32102830628 40128538285 43776587220 48154245942 64205661256 80257076570 87553174440 96308491884 120385614855 160514153140 175835958667 192616983768 240771229710 321028306280 351671917334 481542459420 527507876001 703343834668 879179793335 963084918840 1055015752002 1406687669336 1758359586670 1934195545337 2110031504004 2637539380005 3516719173340 3868391090674 4220063008008 5275078760010 5802586636011 7033438346680 7736782181348 9670977726685 10550157520020 11605173272022 15473564362696 19341955453370 21100315040040 23210346544044 29012933180055 38683910906740 46420693088088 58025866360110 77367821813480 116051732720220 232103465440440