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1232216032440 = 233589191604063
BaseRepresentation
bin10001111011100101110…
…011001000010010111000
311100210120020212010101010
4101323211303020102320
5130142034301014230
62342023333553520
7155011314313611
oct21734563102270
94323506763333
101232216032440
11435641910098
1217a98a7a58a0
138c274b059b3
14438d4dc4c08
15220bd14b9b0
hex11ee5cc84b8

1232216032440 has 128 divisors (see below), whose sum is σ = 3757761331200. Its totient is φ = 323197332480.

The previous prime is 1232216032427. The next prime is 1232216032469. The reversal of 1232216032440 is 442306122321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1232216032398 and 1232216032407.

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, 1737849 + ... + 2341911.

It is an arithmetic number, because the mean of its divisors is an integer number (29357510400).

Almost surely, 21232216032440 is an apocalyptic number.

1232216032440 is a gapful number since it is divisible by the number (10) 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 1232216032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878880665600).

1232216032440 is an abundant number, since it is smaller than the sum of its proper divisors (2525545298760).

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

1232216032440 is a wasteful number, since it uses less digits than its factorization.

1232216032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604357 (or 604353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 1232216032440 in words is "one trillion, two hundred thirty-two billion, two hundred sixteen million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 191 267 356 382 445 534 573 712 764 890 955 1068 1146 1335 1528 1780 1910 2136 2292 2670 2865 3560 3820 4584 5340 5730 7640 10680 11460 16999 22920 33998 50997 67996 84995 101994 135992 169990 203988 254985 339980 407976 509970 604063 679960 1019940 1208126 1812189 2039880 2416252 3020315 3624378 4832504 6040630 7248756 9060945 12081260 14497512 18121890 24162520 36243780 53761607 72487560 107523214 115376033 161284821 215046428 230752066 268808035 322569642 346128099 430092856 461504132 537616070 576880165 645139284 692256198 806424105 923008264 1075232140 1153760330 1290278568 1384512396 1612848210 1730640495 2150464280 2307520660 2769024792 3225696420 3461280990 4615041320 6451392840 6922561980 10268466937 13845123960 20536933874 30805400811 41073867748 51342334685 61610801622 82147735496 102684669370 123221603244 154027004055 205369338740 246443206488 308054008110 410738677480 616108016220 1232216032440