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542134435100 = 22524123225071
BaseRepresentation
bin1111110001110011011…
…10101111110100011100
31220211100021120210020212
413320321232233310130
532340242403410400
61053015250231552
754111411444116
oct7707156576434
91824307523225
10542134435100
11199a10834195
128909b8855b8
133c17a486a8b
141c34d0823b6
15e17ebd5335
hex7e39bafd1c

542134435100 has 54 divisors (see below), whose sum is σ = 1205825395152. Its totient is φ = 211564592000.

The previous prime is 542134435097. The next prime is 542134435109. The reversal of 542134435100 is 1534431245.

It is a super-2 number, since 2×5421344351002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542134435109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1444436 + ... + 1780635.

Almost surely, 2542134435100 is an apocalyptic number.

542134435100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542134435100 is an abundant number, since it is smaller than the sum of its proper divisors (663690960052).

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

542134435100 is a wasteful number, since it uses less digits than its factorization.

542134435100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225167 (or 3225119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 542134435100 its reverse (1534431245), we get a palindrome (543668866345).

The spelling of 542134435100 in words is "five hundred forty-two billion, one hundred thirty-four million, four hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1681 2050 3362 4100 6724 8405 16810 33620 42025 84050 168100 3225071 6450142 12900284 16125355 32250710 64501420 80626775 132227911 161253550 264455822 322507100 528911644 661139555 1322279110 2644558220 3305697775 5421344351 6611395550 10842688702 13222791100 21685377404 27106721755 54213443510 108426887020 135533608775 271067217550 542134435100