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141322968 = 2335139523
BaseRepresentation
bin10000110110001…
…10101011011000
3100211220221200000
420123012223120
5242134313333
622005013000
73334140213
oct1033065330
9324827600
10141322968
1172856046
123b3b4160
1323381577
1414aaa77a
15c618713
hex86c6ad8

141322968 has 96 divisors (see below), whose sum is σ = 400545600. Its totient is φ = 46679328.

The previous prime is 141322967. The next prime is 141323009. The reversal of 141322968 is 869223141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141322967) 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 23 ways as a sum of consecutive naturals, for example, 269955 + ... + 270477.

It is an arithmetic number, because the mean of its divisors is an integer number (4172350).

Almost surely, 2141322968 is an apocalyptic number.

141322968 is a gapful number since it is divisible by the number (18) 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 141322968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200272800).

141322968 is an abundant number, since it is smaller than the sum of its proper divisors (259222632).

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

141322968 is a wasteful number, since it uses less digits than its factorization.

141322968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 141322968 is about 11887.9337144855. The cubic root of 141322968 is about 520.8798811404.

The spelling of 141322968 in words is "one hundred forty-one million, three hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 243 278 324 417 486 523 556 648 834 972 1046 1112 1251 1569 1668 1944 2092 2502 3138 3336 3753 4184 4707 5004 6276 7506 9414 10008 11259 12552 14121 15012 18828 22518 28242 30024 33777 37656 42363 45036 56484 67554 72697 84726 90072 112968 127089 135108 145394 169452 218091 254178 270216 290788 338904 436182 508356 581576 654273 872364 1016712 1308546 1744728 1962819 2617092 3925638 5234184 5888457 7851276 11776914 15702552 17665371 23553828 35330742 47107656 70661484 141322968