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21983242337040 = 2435211434108261
BaseRepresentation
bin1001111111110010111110…
…10110011011101100010000
32212211120120221210212122010
410333321133112123230100
510340133140014241130
6114430543452142520
74426144144523505
oct477713726335420
985746527725563
1021983242337040
11700604a219696
1225705bb467a40
13c3601ab134ba
1455ddcd2b14ac
15281c7baaa0b0
hex13fe5f59bb10

21983242337040 has 80 divisors (see below), whose sum is σ = 68471027948736. Its totient is φ = 5834415014400.

The previous prime is 21983242337033. The next prime is 21983242337087. The reversal of 21983242337040 is 4073324238912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 217003491 + ... + 217104770.

Almost surely, 221983242337040 is an apocalyptic number.

21983242337040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21983242337040 is an abundant number, since it is smaller than the sum of its proper divisors (46487785611696).

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

21983242337040 is a wasteful number, since it uses less digits than its factorization.

21983242337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434108488 (or 434108482 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 21983242337040 in words is "twenty-one trillion, nine hundred eighty-three billion, two hundred forty-two million, three hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 8440 10128 12660 16880 25320 50640 434108261 868216522 1302324783 1736433044 2170541305 2604649566 3472866088 4341082610 5209299132 6511623915 6945732176 8682165220 10418598264 13023247830 17364330440 20837196528 26046495660 34728660880 52092991320 91596843071 104185982640 183193686142 274790529213 366387372284 457984215355 549581058426 732774744568 915968430710 1099162116852 1373952646065 1465549489136 1831936861420 2198324233704 2747905292130 3663873722840 4396648467408 5495810584260 7327747445680 10991621168520 21983242337040