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141374430 = 23351932713
BaseRepresentation
bin10000110110100…
…11001111011110
3100212000120021000
420123103033132
5242142440210
622010051130
73334443231
oct1033231736
9325016230
10141374430
117289077a
123b419aa6
132339bb12
1414ac1418
15c628ac0
hex86d33de

141374430 has 64 divisors (see below), whose sum is σ = 379091520. Its totient is φ = 37490688.

The previous prime is 141374407. The next prime is 141374483. The reversal of 141374430 is 34473141.

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

It is a junction number, because it is equal to n+sod(n) for n = 141374394 and 141374403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50754 + ... + 53466.

It is an arithmetic number, because the mean of its divisors is an integer number (5923305).

Almost surely, 2141374430 is an apocalyptic number.

141374430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141374430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189545760).

141374430 is an abundant number, since it is smaller than the sum of its proper divisors (237717090).

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

141374430 is a wasteful number, since it uses less digits than its factorization.

141374430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

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

The square root of 141374430 is about 11890.0979810933. The cubic root of 141374430 is about 520.9430986716.

The spelling of 141374430 in words is "one hundred forty-one million, three hundred seventy-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 270 386 579 965 1158 1737 1930 2713 2895 3474 5211 5426 5790 8139 8685 10422 13565 16278 17370 24417 26055 27130 40695 48834 52110 73251 81390 122085 146502 244170 366255 523609 732510 1047218 1570827 2618045 3141654 4712481 5236090 7854135 9424962 14137443 15708270 23562405 28274886 47124810 70687215 141374430