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1020418571440 = 24541311103223
BaseRepresentation
bin11101101100101011010…
…11111011110010110000
310121112212201120022210201
432312111223323302300
5113204304123241230
62100435051204544
7133502631513562
oct16662553736260
93545781508721
101020418571440
11363836754924
12145920146754
13752c05b7b88
1437562169332
151b8241135ca
hexed95afbcb0

1020418571440 has 40 divisors (see below), whose sum is σ = 2430338385888. Its totient is φ = 398212124160.

The previous prime is 1020418571407. The next prime is 1020418571443. The reversal of 1020418571440 is 441758140201.

It is a happy number.

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 1020418571440.

It is not an unprimeable number, because it can be changed into a prime (1020418571443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155548332 + ... + 155554891.

Almost surely, 21020418571440 is an apocalyptic number.

1020418571440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020418571440 is an abundant number, since it is smaller than the sum of its proper divisors (1409919814448).

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

1020418571440 is a wasteful number, since it uses less digits than its factorization.

1020418571440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311103277 (or 311103271 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 1020418571440 in words is "one trillion, twenty billion, four hundred eighteen million, five hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 311103223 622206446 1244412892 1555516115 2488825784 3111032230 4977651568 6222064460 12444128920 12755232143 24888257840 25510464286 51020928572 63776160715 102041857144 127552321430 204083714288 255104642860 510209285720 1020418571440