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35042505240 = 23351312229167
BaseRepresentation
bin100000101000101100…
…100011001000011000
310100110011122201011110
4200220230203020120
51033231340131430
624033122300320
72350246244211
oct405054431030
9110404581143
1035042505240
1113952642936
12695b7b76a0
1333c5c86902
1419a6012408
15da16797b0
hex828b23218

35042505240 has 64 divisors (see below), whose sum is σ = 105930063360. Its totient is φ = 9273330560.

The previous prime is 35042505193. The next prime is 35042505241. The reversal of 35042505240 is 4250524053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35042505198 and 35042505207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35042505241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098864 + ... + 1130303.

It is an arithmetic number, because the mean of its divisors is an integer number (1655157240).

Almost surely, 235042505240 is an apocalyptic number.

35042505240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35042505240 is an abundant number, since it is smaller than the sum of its proper divisors (70887558120).

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

35042505240 is a wasteful number, since it uses less digits than its factorization.

35042505240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229312 (or 2229308 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 35042505240 in words is "thirty-five billion, forty-two million, five hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 2229167 4458334 6687501 8916668 11145835 13375002 17833336 22291670 26750004 33437505 44583340 53500008 66875010 89166680 133750020 267500040 292020877 584041754 876062631 1168083508 1460104385 1752125262 2336167016 2920208770 3504250524 4380313155 5840417540 7008501048 8760626310 11680835080 17521252620 35042505240