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1020525034424 = 237283503128021
BaseRepresentation
bin11101101100111000000…
…10000011101110111000
310121120011010220012120012
432312130002003232320
5113210013402100144
62100453413121052
7133505363444360
oct16663402035670
93546133805505
101020525034424
11363890860065
1214594b929188
137530968231c
143757235d9a0
151b82d642e9e
hexed9c083bb8

1020525034424 has 64 divisors (see below), whose sum is σ = 2198946839040. Its totient is φ = 434952558720.

The previous prime is 1020525034349. The next prime is 1020525034439. The reversal of 1020525034424 is 4244305250201.

1020525034424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10205250344243 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 7907534 + ... + 8035554.

It is an arithmetic number, because the mean of its divisors is an integer number (34358544360).

Almost surely, 21020525034424 is an apocalyptic number.

1020525034424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020525034424 is an abundant number, since it is smaller than the sum of its proper divisors (1178421804616).

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

1020525034424 is a wasteful number, since it uses less digits than its factorization.

1020525034424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128820 (or 128816 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 1020525034424 in words is "one trillion, twenty billion, five hundred twenty-five million, thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 283 503 566 1006 1132 1981 2012 2264 3521 3962 4024 7042 7924 14084 15848 28168 128021 142349 256042 284698 512084 569396 896147 996443 1024168 1138792 1792294 1992886 3584588 3985772 7169176 7971544 36229943 64394563 72459886 128789126 144919772 253609601 257578252 289839544 450761941 507219202 515156504 901523882 1014438404 1803047764 2028876808 3606095528 18223661329 36447322658 72894645316 127565629303 145789290632 255131258606 510262517212 1020525034424