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141373376 = 2619229211
BaseRepresentation
bin10000110110100…
…10111111000000
3100212000111210222
420123102333000
5242142422001
622010042212
73334440164
oct1033227700
9325014728
10141373376
117288aa01
123b419368
132339b4b1
1414ac0ca4
15c62861b
hex86d2fc0

141373376 has 84 divisors (see below), whose sum is σ = 307741320. Its totient is φ = 64350720.

The previous prime is 141373373. The next prime is 141373391. The reversal of 141373376 is 673373141.

141373376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141373373) 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 11 ways as a sum of consecutive naturals, for example, 669911 + ... + 670121.

Almost surely, 2141373376 is an apocalyptic number.

141373376 is a gapful number since it is divisible by the number (16) 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 141373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153870660).

141373376 is an abundant number, since it is smaller than the sum of its proper divisors (166367944).

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

141373376 is a wasteful number, since it uses less digits than its factorization.

141373376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 261 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 141373376 is about 11890.0536584155. The cubic root of 141373376 is about 520.9418040589.

The spelling of 141373376 in words is "one hundred forty-one million, three hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 211 232 304 361 422 464 551 608 722 844 928 1102 1216 1444 1688 1856 2204 2888 3376 4009 4408 5776 6119 6752 8018 8816 10469 11552 12238 13504 16036 17632 20938 23104 24476 32072 35264 41876 48952 64144 76171 83752 97904 116261 128288 152342 167504 195808 232522 256576 304684 335008 391616 465044 609368 670016 930088 1218736 1860176 2208959 2437472 3720352 4417918 4874944 7440704 8835836 17671672 35343344 70686688 141373376