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1020057104440 = 2351111903194767
BaseRepresentation
bin11101101100000000010…
…01000011000000111000
310121111221112101220022001
432312000021003000320
5113203034104320230
62100335135510344
7133460652220123
oct16660011030070
93544845356261
101020057104440
11363670708370
1214583b0883b4
137526374848a
143752a1553ba
151b8025120ca
hexed80243038

1020057104440 has 64 divisors (see below), whose sum is σ = 2503999733760. Its totient is φ = 370896789120.

The previous prime is 1020057104387. The next prime is 1020057104461. The reversal of 1020057104440 is 444017500201.

It is a junction number, because it is equal to n+sod(n) for n = 1020057104399 and 1020057104408.

It is a congruent number.

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, 5139937 + ... + 5334703.

It is an arithmetic number, because the mean of its divisors is an integer number (39124995840).

Almost surely, 21020057104440 is an apocalyptic number.

1020057104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020057104440 is an abundant number, since it is smaller than the sum of its proper divisors (1483942629320).

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

1020057104440 is a wasteful number, since it uses less digits than its factorization.

1020057104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206692 (or 206688 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 1020057104440 in words is "one trillion, twenty billion, fifty-seven million, one hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 11903 23806 47612 59515 95224 119030 130933 194767 238060 261866 389534 476120 523732 654665 779068 973835 1047464 1309330 1558136 1947670 2142437 2618660 3895340 4284874 5237320 7790680 8569748 10712185 17139496 21424370 42848740 85697480 2318311601 4636623202 9273246404 11591558005 18546492808 23183116010 25501427611 46366232020 51002855222 92732464040 102005710444 127507138055 204011420888 255014276110 510028552220 1020057104440