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145214213166 = 232112336438753
BaseRepresentation
bin1000011100111101110…
…0010000110000101110
3111212211020011100112100
42013033130100300232
54334344314310131
6150413244315530
713330354305651
oct2071734206056
9455736140470
10145214213166
1156648701720
1224187b42ba6
1310902c13329
147057d31898
153b9d88d7e6
hex21cf710c2e

145214213166 has 96 divisors (see below), whose sum is σ = 358296037632. Its totient is φ = 42074714880.

The previous prime is 145214213161. The next prime is 145214213171. The reversal of 145214213166 is 661312412541.

145214213166 is a `hidden beast` number, since 1 + 4 + 521 + 42 + 1 + 31 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (145214213161) and next prime (145214213171).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145214213166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145214213161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16585846 + ... + 16594598.

It is an arithmetic number, because the mean of its divisors is an integer number (3732250392).

Almost surely, 2145214213166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145214213166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179148018816).

145214213166 is an abundant number, since it is smaller than the sum of its proper divisors (213081824466).

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

145214213166 is a wasteful number, since it uses less digits than its factorization.

145214213166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12438 (or 12435 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 145214213166 in words is "one hundred forty-five billion, two hundred fourteen million, two hundred thirteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 3643 4554 7286 8753 10929 17506 21858 26259 32787 40073 52518 65574 78777 80146 83789 96283 120219 157554 167578 192566 201319 240438 251367 288849 360657 402638 502734 577698 603957 721314 754101 866547 921679 1207914 1508202 1733094 1811871 1843358 2214509 2765037 3623742 4429018 5530074 6643527 8295111 13287054 16590222 19930581 31887179 39861162 63774358 95661537 191323074 286984611 350758969 573969222 701517938 733405117 1052276907 1466810234 2104553814 2200215351 3156830721 4400430702 6313661442 6600646053 8067456287 13201292106 16134912574 24202368861 48404737722 72607106583 145214213166