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42124412320 = 255833172019
BaseRepresentation
bin100111001110110011…
…111000010110100000
311000201201111212100021
4213032303320112200
51142232322143240
631203544203224
73020611411504
oct471663702640
9130651455307
1042124412320
1116957150501
1281b7469514
133c84239c83
1420787b0304
15116827254a
hex9cecf85a0

42124412320 has 48 divisors (see below), whose sum is σ = 100717979040. Its totient is φ = 16646750464.

The previous prime is 42124412303. The next prime is 42124412333. The reversal of 42124412320 is 2321442124.

42124412320 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-2 number, since 2×421244123202 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572730 + ... + 1599289.

It is an arithmetic number, because the mean of its divisors is an integer number (2098291230).

Almost surely, 242124412320 is an apocalyptic number.

42124412320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124412320 is an abundant number, since it is smaller than the sum of its proper divisors (58593566720).

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

42124412320 is a wasteful number, since it uses less digits than its factorization.

42124412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172117 (or 3172109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42124412320 its reverse (2321442124), we get a palindrome (44445854444).

The spelling of 42124412320 in words is "forty-two billion, one hundred twenty-four million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 13280 3172019 6344038 12688076 15860095 25376152 31720190 50752304 63440380 101504608 126880760 253761520 263277577 507523040 526555154 1053110308 1316387885 2106220616 2632775770 4212441232 5265551540 8424882464 10531103080 21062206160 42124412320