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140172144 = 2437261977
BaseRepresentation
bin10000101101011…
…01101101110000
3100202202111000220
420112231231300
5241341002034
621524213040
73321305100
oct1026555560
9322674026
10140172144
117213a452
123ab3a180
132306a7c8
141488b200
15c48c749
hex85adb70

140172144 has 120 divisors (see below), whose sum is σ = 428575248. Its totient is φ = 39352320.

The previous prime is 140172127. The next prime is 140172161. The reversal of 140172144 is 441271041.

140172144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140172127) and next prime (140172161).

It is a super-4 number, since 4×1401721444 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142984 + ... + 143960.

Almost surely, 2140172144 is an apocalyptic number.

140172144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140172144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214287624).

140172144 is an abundant number, since it is smaller than the sum of its proper divisors (288403104).

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

140172144 is a wasteful number, since it uses less digits than its factorization.

140172144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 140172144 is about 11839.4317431201. The cubic root of 140172144 is about 519.4621460405.

It can be divided in two parts, 14017 and 2144, that added together give a palindrome (16161).

The spelling of 140172144 in words is "one hundred forty million, one hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 976 977 1176 1281 1464 1708 1954 2352 2562 2928 2931 2989 3416 3908 5124 5862 5978 6832 6839 7816 8967 10248 11724 11956 13678 15632 17934 20496 20517 23448 23912 27356 35868 41034 46896 47824 47873 54712 59597 71736 82068 95746 109424 119194 143472 143619 164136 178791 191492 238388 287238 328272 357582 382984 417179 476776 574476 715164 765968 834358 953552 1148952 1251537 1430328 1668716 2297904 2503074 2860656 2920253 3337432 5006148 5840506 6674864 8760759 10012296 11681012 17521518 20024592 23362024 35043036 46724048 70086072 140172144