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141403032 = 233271139199
BaseRepresentation
bin10000110110110…
…10001110011000
3100212002000111100
420123122032120
5242144344112
622010431400
73334622511
oct1033321630
9325060440
10141403032
1172900211
123b432560
13233abb44
1414acba08
15c6322dc
hex86da398

141403032 has 96 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 45904320.

The previous prime is 141403027. The next prime is 141403051. The reversal of 141403032 is 230304141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141402996 and 141403014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 710469 + ... + 710667.

It is an arithmetic number, because the mean of its divisors is an integer number (4095000).

Almost surely, 2141403032 is an apocalyptic number.

141403032 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 141403032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

141403032 is an abundant number, since it is smaller than the sum of its proper divisors (251716968).

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

141403032 is a wasteful number, since it uses less digits than its factorization.

141403032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 141403032 is about 11891.3006857955. The cubic root of 141403032 is about 520.9782276309.

Adding to 141403032 its reverse (230304141), we get a palindrome (371707173).

The spelling of 141403032 in words is "one hundred forty-one million, four hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 139 142 199 213 278 284 398 417 426 556 568 597 639 796 834 852 1112 1194 1251 1278 1592 1668 1704 1791 2388 2502 2556 3336 3582 4776 5004 5112 7164 9869 10008 14129 14328 19738 27661 28258 29607 39476 42387 55322 56516 59214 78952 82983 84774 88821 110644 113032 118428 127161 165966 169548 177642 221288 236856 248949 254322 331932 339096 355284 497898 508644 663864 710568 995796 1017288 1963931 1991592 3927862 5891793 7855724 11783586 15711448 17675379 23567172 35350758 47134344 70701516 141403032