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146171142 = 23413219281
BaseRepresentation
bin10001011011001…
…10010100000110
3101012001021010000
420231212110012
5244404434032
622300542130
73423301635
oct1055462406
9335037100
10146171142
11755675a7
1240b51946
132438b200
14155ad51c
15cc74e7c
hex8b66506

146171142 has 120 divisors (see below), whose sum is σ = 374659560. Its totient is φ = 42456960.

The previous prime is 146171101. The next prime is 146171173. The reversal of 146171142 is 241171641.

146171142 is a `hidden beast` number, since 1 + 4 + 617 + 1 + 1 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 520042 + ... + 520322.

It is an arithmetic number, because the mean of its divisors is an integer number (3122163).

Almost surely, 2146171142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146171142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187329780).

146171142 is an abundant number, since it is smaller than the sum of its proper divisors (228488418).

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

146171142 is a wasteful number, since it uses less digits than its factorization.

146171142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 146171142 is about 12090.1258057971. The cubic root of 146171142 is about 526.7694094451.

The spelling of 146171142 in words is "one hundred forty-six million, one hundred seventy-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 169 171 234 247 281 338 342 351 494 507 513 562 702 741 843 1014 1026 1053 1482 1521 1539 1686 2106 2223 2529 3042 3078 3211 3653 4446 4563 5058 5339 6422 6669 7306 7587 9126 9633 10678 10959 13338 13689 15174 16017 19266 20007 21918 22761 27378 28899 32034 32877 40014 45522 47489 48051 57798 65754 69407 86697 94978 96102 98631 138814 142467 144153 173394 197262 208221 260091 284934 288306 295893 416442 427401 432459 520182 591786 624663 854802 864918 902291 1249326 1282203 1804582 1873989 2564406 2706873 3747978 3846609 5413746 5621967 7693218 8120619 11243934 16241238 24361857 48723714 73085571 146171142