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146143404 = 2232111033583
BaseRepresentation
bin10001011010111…
…11100010101100
3101011222212001200
420231133202230
5244403042104
622300205500
73423125031
oct1055374254
9334885050
10146143404
1175548780
1240b39890
132437b6b4
14155a3388
15cc6bb39
hex8b5f8ac

146143404 has 72 divisors (see below), whose sum is σ = 407027712. Its totient is φ = 43843680.

The previous prime is 146143397. The next prime is 146143409. The reversal of 146143404 is 404341641.

146143404 is a `hidden beast` number, since 1 + 4 + 614 + 3 + 40 + 4 = 666.

146143404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146143409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38997 + ... + 42579.

Almost surely, 2146143404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146143404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203513856).

146143404 is an abundant number, since it is smaller than the sum of its proper divisors (260884308).

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

146143404 is a wasteful number, since it uses less digits than its factorization.

146143404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146143404 is about 12088.9786169056. The cubic root of 146143404 is about 526.7360867385.

The spelling of 146143404 in words is "one hundred forty-six million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2266 3399 3583 3708 4532 6798 7166 10197 10749 13596 14332 20394 21498 32247 39413 40788 42996 64494 78826 118239 128988 157652 236478 354717 369049 472956 709434 738098 1107147 1418868 1476196 2214294 3321441 4059539 4428588 6642882 8119078 12178617 13285764 16238156 24357234 36535851 48714468 73071702 146143404