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141310464 = 293197467
BaseRepresentation
bin10000110110000…
…11101000000000
3100211220022111220
420123003220000
5242133413324
622004435040
73334055601
oct1033035000
9324808456
10141310464
1172847709
123b3a8a80
1323378979
1414aa5da8
15c614b79
hex86c3a00

141310464 has 80 divisors (see below), whose sum is σ = 379181088. Its totient is φ = 46764032.

The previous prime is 141310447. The next prime is 141310517. The reversal of 141310464 is 464013141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302359 + ... + 302825.

Almost surely, 2141310464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141310464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590544).

141310464 is an abundant number, since it is smaller than the sum of its proper divisors (237870624).

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

141310464 is an equidigital number, since it uses as much as digits as its factorization.

141310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 141310464 is about 11887.4077914405. The cubic root of 141310464 is about 520.8645185182.

The spelling of 141310464 in words is "one hundred forty-one million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 467 512 591 768 788 934 1182 1401 1536 1576 1868 2364 2802 3152 3736 4728 5604 6304 7472 9456 11208 12608 14944 18912 22416 25216 29888 37824 44832 50432 59776 75648 89664 91999 100864 119552 151296 179328 183998 239104 275997 302592 358656 367996 551994 717312 735992 1103988 1471984 2207976 2943968 4415952 5887936 8831904 11775872 17663808 23551744 35327616 47103488 70655232 141310464