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214113042 = 2321113193431
BaseRepresentation
bin11001100001100…
…01101100010010
3112220220001212200
430300301230102
5414303104132
633125104030
75206634163
oct1460615422
9486801780
10214113042
11aa952330
125b858016
1335489010
142061776a
1513be5d7c
hexcc31b12

214113042 has 96 divisors (see below), whose sum is σ = 549110016. Its totient is φ = 59443200.

The previous prime is 214113023. The next prime is 214113089. The reversal of 214113042 is 240311412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496567 + ... + 496997.

It is an arithmetic number, because the mean of its divisors is an integer number (5719896).

Almost surely, 2214113042 is an apocalyptic number.

214113042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214113042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274555008).

214113042 is an abundant number, since it is smaller than the sum of its proper divisors (334996974).

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

214113042 is a wasteful number, since it uses less digits than its factorization.

214113042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214113042 is about 14632.6020242471. The cubic root of 214113042 is about 598.2477040803.

Adding to 214113042 its reverse (240311412), we get a palindrome (454424454).

The spelling of 214113042 in words is "two hundred fourteen million, one hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 193 198 234 286 386 429 431 579 858 862 1158 1287 1293 1737 2123 2509 2574 2586 3474 3879 4246 4741 5018 5603 6369 7527 7758 9482 11206 12738 14223 15054 16809 19107 22581 27599 28446 33618 38214 42669 45162 50427 55198 61633 82797 83183 85338 100854 123266 165594 166366 184899 248391 249549 369798 496782 499098 554697 748647 915013 1081379 1109394 1497294 1830026 2162758 2745039 3244137 5490078 6488274 8235117 9732411 11895169 16470234 19464822 23790338 35685507 71371014 107056521 214113042