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142431372 = 223417191361
BaseRepresentation
bin10000111110101…
…01010010001100
3100221000021010000
420133111102030
5242430300442
622044444300
73346434546
oct1037252214
9327007100
10142431372
1173442886
123b849690
132367bc25
1414cb8696
15c786d4c
hex87d548c

142431372 has 120 divisors (see below), whose sum is σ = 415301040. Its totient is φ = 42301440.

The previous prime is 142431361. The next prime is 142431379. The reversal of 142431372 is 273134241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142431379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103972 + ... + 105332.

It is an arithmetic number, because the mean of its divisors is an integer number (3460842).

Almost surely, 2142431372 is an apocalyptic number.

142431372 is a gapful number since it is divisible by the number (12) 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 142431372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207650520).

142431372 is an abundant number, since it is smaller than the sum of its proper divisors (272869668).

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

142431372 is a wasteful number, since it uses less digits than its factorization.

142431372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 142431372 is about 11934.4615295371. The cubic root of 142431372 is about 522.2380998610.

The spelling of 142431372 in words is "one hundred forty-two million, four hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1361 1377 1539 1836 1938 2052 2722 2754 2907 3078 3876 4083 5444 5508 5814 6156 8166 8721 11628 12249 16332 17442 23137 24498 25859 26163 34884 36747 46274 48996 51718 52326 69411 73494 77577 92548 103436 104652 110241 138822 146988 155154 208233 220482 232731 277644 310308 416466 439603 440964 465462 624699 698193 832932 879206 930924 1249398 1318809 1396386 1758412 1874097 2094579 2498796 2637618 2792772 3748194 3956427 4189158 5275236 7496388 7912854 8378316 11869281 15825708 23738562 35607843 47477124 71215686 142431372