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142350936372 = 223253227328667
BaseRepresentation
bin1000010010010011000…
…1101110100100110100
3111121102200101211011200
42010210301232210310
54313013314430442
6145221202332500
713166405665131
oct2044461564464
9447380354150
10142350936372
1155409435467
122370905a130
131056795c7c8
146c65959588
153a8230534c
hex2124c6e934

142350936372 has 72 divisors (see below), whose sum is σ = 368236997856. Its totient is φ = 46349793984.

The previous prime is 142350936367. The next prime is 142350936401. The reversal of 142350936372 is 273639053241.

142350936372 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 5 + 0 + 9 + 3 + 637 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268783 + ... + 597449.

It is an arithmetic number, because the mean of its divisors is an integer number (5114402748).

Almost surely, 2142350936372 is an apocalyptic number.

142350936372 is a gapful number since it is divisible by the number (12) 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 142350936372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184118498928).

142350936372 is an abundant number, since it is smaller than the sum of its proper divisors (225886061484).

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

142350936372 is a wasteful number, since it uses less digits than its factorization.

142350936372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328957 (or 328952 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 142350936372 in words is "one hundred forty-two billion, three hundred fifty million, nine hundred thirty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 227 318 454 477 636 681 908 954 1362 1908 2043 2724 4086 8172 12031 24062 36093 48124 72186 108279 144372 216558 328667 433116 657334 986001 1314668 1972002 2958003 3944004 5916006 11832012 17419351 34838702 52258053 69677404 74607409 104516106 149214818 156774159 209032212 223822227 298429636 313548318 447644454 627096636 671466681 895288908 1342933362 2685866724 3954192677 7908385354 11862578031 15816770708 23725156062 35587734093 47450312124 71175468186 142350936372