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144964404 = 223413127271
BaseRepresentation
bin10001010001111…
…11101100110100
3101002202221210000
420220333230310
5244102330104
622215031300
73410114514
oct1050775464
9332687700
10144964404
11749129a2
124066b530
1324057b70
1415377844
15cad7639
hex8a3fb34

144964404 has 120 divisors (see below), whose sum is σ = 412848128. Its totient is φ = 44089920.

The previous prime is 144964367. The next prime is 144964411. The reversal of 144964404 is 404469441.

144964404 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 644 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534789 + ... + 535059.

Almost surely, 2144964404 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 144964404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206424064).

144964404 is an abundant number, since it is smaller than the sum of its proper divisors (267883724).

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

144964404 is a wasteful number, since it uses less digits than its factorization.

144964404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144964404 is about 12040.1164446196. The cubic root of 144964404 is about 525.3157936818.

The spelling of 144964404 in words is "one hundred forty-four million, nine hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 254 271 324 351 381 468 508 542 702 762 813 1053 1084 1143 1404 1524 1626 1651 2106 2286 2439 3252 3302 3429 3523 4212 4572 4878 4953 6604 6858 7046 7317 9756 9906 10287 10569 13716 14092 14634 14859 19812 20574 21138 21951 29268 29718 31707 34417 41148 42276 43902 44577 59436 63414 68834 87804 89154 95121 103251 126828 133731 137668 178308 190242 206502 267462 285363 309753 380484 413004 447421 534924 570726 619506 894842 929259 1141452 1239012 1342263 1789684 1858518 2684526 2787777 3717036 4026789 5369052 5575554 8053578 11151108 12080367 16107156 24160734 36241101 48321468 72482202 144964404