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21550434311440 = 245413336517321
BaseRepresentation
bin1001110011001100110011…
…11110110101110100010000
32211022012102211011010022001
410321212121332311310100
510311040242140431230
6113500044410123344
74352652565151206
oct471463176656420
984265384133261
1021550434311440
116959540394051
122500750a20554
13c04274432b78
14547091b91076
15275899cb50ca
hex139999fb5d10

21550434311440 has 40 divisors (see below), whose sum is σ = 50105979683928. Its totient is φ = 8619963847680.

The previous prime is 21550434311411. The next prime is 21550434311507. The reversal of 21550434311440 is 4411343405512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7551701857296 + 13998732454144 = 2748036^2 + 3741488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 21550434311440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47980 + ... + 6565300.

Almost surely, 221550434311440 is an apocalyptic number.

21550434311440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21550434311440 is an abundant number, since it is smaller than the sum of its proper divisors (28555545372488).

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

21550434311440 is a wasteful number, since it uses less digits than its factorization.

21550434311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558667 (or 6558661 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 21550434311440 its reverse (4411343405512), we get a palindrome (25961777716952).

The spelling of 21550434311440 in words is "twenty-one trillion, five hundred fifty billion, four hundred thirty-four million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 41333 82666 165332 206665 330664 413330 661328 826660 1653320 3306640 6517321 13034642 26069284 32586605 52138568 65173210 104277136 130346420 260692840 521385680 269380428893 538760857786 1077521715572 1346902144465 2155043431144 2693804288930 4310086862288 5387608577860 10775217155720 21550434311440