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1090015345444 = 22172307072
BaseRepresentation
bin11111101110010011111…
…10100011101100100100
310212012112001011202121011
433313021332203230210
5120324322412023234
62152425055432004
7141515411364334
oct17671176435444
93765461152534
101090015345444
11390300278273
12157303b25604
137ba3233175c
143aa853bb0c4
151d549124b64
hexfdc9fa3b24

1090015345444 has 27 divisors (see below), whose sum is σ = 2026400746993. Its totient is φ = 512931693248.

The previous prime is 1090015345429. The next prime is 1090015345459. The reversal of 1090015345444 is 4445435100901.

The square root of 1090015345444 is 1044038.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1090015345429) and next prime (1090015345459).

It can be written as a sum of positive squares in only one way, i.e., 848627864100 + 241387481344 = 921210^2 + 491312^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1090015345397 and 1090015345406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35481939 + ... + 35512645.

Almost surely, 21090015345444 is an apocalyptic number.

1090015345444 is the 1044038-th square number.

It is an amenable number.

1090015345444 is a deficient number, since it is larger than the sum of its proper divisors (936385401549).

1090015345444 is an frugal number, since it uses more digits than its factorization.

1090015345444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61452 (or 30726 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 1090015345444 in words is "one trillion, ninety billion, fifteen million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 289 578 1156 30707 61414 122828 522019 1044038 2088076 8874323 17748646 35497292 942919849 1885839698 3771679396 16029637433 32059274866 64118549732 272503836361 545007672722 1090015345444