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141929676 = 223272611319
BaseRepresentation
bin10000111010110…
…10110011001100
3100220001202220200
420131122303030
5242313222201
622030013500
73342245100
oct1035326314
9326052820
10141929676
117312a959
123b647290
1323534775
1414bc7900
15c6d8386
hex875accc

141929676 has 108 divisors (see below), whose sum is σ = 424504080. Its totient is φ = 39856320.

The previous prime is 141929657. The next prime is 141929681. The reversal of 141929676 is 676929141.

141929676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106945 + ... + 108263.

Almost surely, 2141929676 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 141929676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

141929676 is an abundant number, since it is smaller than the sum of its proper divisors (282574404).

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

141929676 is a wasteful number, since it uses less digits than its factorization.

141929676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1392 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 141929676 is about 11913.4241929010. The cubic root of 141929676 is about 521.6242065607.

The spelling of 141929676 in words is "one hundred forty-one million, nine hundred twenty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1319 1708 1764 2196 2562 2638 2989 3843 3957 5124 5276 5978 7686 7914 8967 9233 11871 11956 15372 15828 17934 18466 23742 26901 27699 35868 36932 47484 53802 55398 64631 80459 83097 107604 110796 129262 160918 166194 193893 241377 258524 321836 332388 387786 482754 563213 581679 724131 775572 965508 1126426 1163358 1448262 1689639 2252852 2326716 2896524 3379278 3942491 5068917 6758556 7884982 10137834 11827473 15769964 20275668 23654946 35482419 47309892 70964838 141929676