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141673968 = 24333171149
BaseRepresentation
bin10000111000111…
…00010111110000
3100212120210011000
420130130113300
5242232031333
622020322000
73340131432
oct1034342760
9325523130
10141673968
1172a75827
123b543300
1323475267
1414b5c652
15c687713
hex871c5f0

141673968 has 160 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 44755200.

The previous prime is 141673963. The next prime is 141673969. The reversal of 141673968 is 869376141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141673963) 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 31 ways as a sum of consecutive naturals, for example, 950758 + ... + 950906.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2141673968 is an apocalyptic number.

141673968 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 141673968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

141673968 is an abundant number, since it is smaller than the sum of its proper divisors (286870032).

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

141673968 is a wasteful number, since it uses less digits than its factorization.

141673968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 141673968 is about 11902.6874276358. The cubic root of 141673968 is about 521.3107563361.

The spelling of 141673968 in words is "one hundred forty-one million, six hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 71 72 93 108 124 142 144 149 186 213 216 248 279 284 298 372 426 432 447 496 558 568 596 639 744 837 852 894 1116 1136 1192 1278 1341 1488 1674 1704 1788 1917 2201 2232 2384 2556 2682 3348 3408 3576 3834 4023 4402 4464 4619 5112 5364 6603 6696 7152 7668 8046 8804 9238 10224 10579 10728 13206 13392 13857 15336 16092 17608 18476 19809 21158 21456 26412 27714 30672 31737 32184 35216 36952 39618 41571 42316 52824 55428 59427 63474 64368 73904 79236 83142 84632 95211 105648 110856 118854 124713 126948 158472 166284 169264 190422 221712 237708 249426 253896 285633 316944 327949 332568 380844 475416 498852 507792 571266 655898 665136 761688 950832 983847 997704 1142532 1311796 1523376 1967694 1995408 2285064 2623592 2951541 3935388 4570128 5247184 5903082 7870776 8854623 11806164 15741552 17709246 23612328 35418492 47224656 70836984 141673968