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140166144 = 2103267227
BaseRepresentation
bin10000101101011…
…00010000000000
3100202202011210200
420112230100000
5241340304034
621524125200
73321251436
oct1026542000
9322664720
10140166144
1172135998
123ab36800
1323067b61
1414888d56
15c48aa99
hex85ac400

140166144 has 132 divisors (see below), whose sum is σ = 412576944. Its totient is φ = 45821952.

The previous prime is 140166137. The next prime is 140166149. The reversal of 140166144 is 441661041.

140166144 is a `hidden beast` number, since 1 + 40 + 1 + 6 + 614 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (140166149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617359 + ... + 617585.

Almost surely, 2140166144 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 140166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206288472).

140166144 is an abundant number, since it is smaller than the sum of its proper divisors (272410800).

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

140166144 is a wasteful number, since it uses less digits than its factorization.

140166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 140166144 is about 11839.1783498687. The cubic root of 140166144 is about 519.4547341605.

The spelling of 140166144 in words is "one hundred forty million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 227 256 268 288 384 402 454 512 536 576 603 681 768 804 908 1024 1072 1152 1206 1362 1536 1608 1816 2043 2144 2304 2412 2724 3072 3216 3632 4086 4288 4608 4824 5448 6432 7264 8172 8576 9216 9648 10896 12864 14528 15209 16344 17152 19296 21792 25728 29056 30418 32688 34304 38592 43584 45627 51456 58112 60836 65376 68608 77184 87168 91254 102912 116224 121672 130752 136881 154368 174336 182508 205824 232448 243344 261504 273762 308736 348672 365016 486688 523008 547524 617472 697344 730032 973376 1046016 1095048 1460064 1946752 2092032 2190096 2920128 3893504 4380192 5840256 7787008 8760384 11680512 15574016 17520768 23361024 35041536 46722048 70083072 140166144