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21231431040 = 273571155747
BaseRepresentation
bin10011110001011111…
…011110110110000000
32000210122200110001210
4103301133132312000
5321440221243130
613430435130120
71351064120601
oct236137366600
960718613053
1021231431040
119005653426
124146443940
132004855561
141055a77da8
15843e145b0
hex4f17ded80

21231431040 has 128 divisors (see below), whose sum is σ = 68628798720. Its totient is φ = 5581936640.

The previous prime is 21231431029. The next prime is 21231431069. The reversal of 21231431040 is 4013413212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 21231430998 and 21231431016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58447 + ... + 214193.

It is an arithmetic number, because the mean of its divisors is an integer number (536162490).

Almost surely, 221231431040 is an apocalyptic number.

21231431040 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 21231431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34314399360).

21231431040 is an abundant number, since it is smaller than the sum of its proper divisors (47397367680).

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

21231431040 is a wasteful number, since it uses less digits than its factorization.

21231431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155840 (or 155828 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21231431040 its reverse (4013413212), we get a palindrome (25244844252).

The spelling of 21231431040 in words is "twenty-one billion, two hundred thirty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 284 320 355 384 426 480 568 640 710 852 960 1065 1136 1420 1704 1920 2130 2272 2840 3408 4260 4544 5680 6816 8520 9088 11360 13632 17040 22720 27264 34080 45440 68160 136320 155747 311494 467241 622988 778735 934482 1245976 1557470 1868964 2336205 2491952 3114940 3737928 4672410 4983904 6229880 7475856 9344820 9967808 11058037 12459760 14951712 18689640 19935616 22116074 24919520 29903424 33174111 37379280 44232148 49839040 55290185 59806848 66348222 74758560 88464296 99678080 110580370 132696444 149517120 165870555 176928592 221160740 265392888 299034240 331741110 353857184 442321480 530785776 663482220 707714368 884642960 1061571552 1326964440 1415428736 1769285920 2123143104 2653928880 3538571840 4246286208 5307857760 7077143680 10615715520 21231431040