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144754377156 = 22342329192
BaseRepresentation
bin1000011011010000001…
…0001000000111000100
3111211122011220021010000
42012310002020013010
54332424110032111
6150255500401300
713313101622124
oct2066402100704
9454564807100
10144754377156
1156432088064
1224079b46230
131085b88160c
147012c32c84
153b7330ac56
hex21b40881c4

144754377156 has 135 divisors (see below), whose sum is σ = 396015691071. Its totient is φ = 46103348016.

The previous prime is 144754377149. The next prime is 144754377169. The reversal of 144754377156 is 651773457441.

The square root of 144754377156 is 380466.

It is a perfect power (a square), and thus also a powerful number.

144754377156 is a `hidden beast` number, since 1 + 4 + 47 + 543 + 7 + 7 + 1 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 157512465 + ... + 157513383.

Almost surely, 2144754377156 is an apocalyptic number.

144754377156 is the 380466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144754377156

144754377156 is an abundant number, since it is smaller than the sum of its proper divisors (251261313915).

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

144754377156 is an frugal number, since it uses more digits than its factorization.

144754377156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 947 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The spelling of 144754377156 in words is "one hundred forty-four billion, seven hundred fifty-four million, three hundred seventy-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 919 1058 1242 1587 1838 1863 2116 2484 2757 3174 3676 3726 4761 5514 6348 7452 8271 9522 11028 14283 16542 19044 21137 24813 28566 33084 42274 42849 49626 57132 63411 74439 84548 85698 99252 126822 148878 171396 190233 253644 297756 380466 486151 570699 760932 844561 972302 1141398 1458453 1689122 1712097 1944604 2282796 2533683 2916906 3378244 3424194 4375359 5067366 5833812 6848388 7601049 8750718 10134732 13126077 15202098 17501436 19424903 22803147 26252154 30404196 38849806 39378231 45606294 52504308 58274709 68409441 77699612 78756462 91212588 116549418 136818882 157512924 174824127 233098836 273637764 349648254 446772769 524472381 699296508 893545538 1048944762 1340318307 1573417143 1787091076 2097889524 2680636614 3146834286 4020954921 5361273228 6293668572 8041909842 12062864763 16083819684 24125729526 36188594289 48251459052 72377188578 144754377156