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142011972 = 223243199461
BaseRepresentation
bin10000111011011…
…10111001000100
3100220012221210200
420131232321010
5242323340342
622031450500
73343040034
oct1035567104
9326187720
10142011972
1173186773
123b686a30
132356306b
1414c098c4
15c70294c
hex876ee44

142011972 has 72 divisors (see below), whose sum is σ = 369969600. Its totient is φ = 45904320.

The previous prime is 142011941. The next prime is 142011979. The reversal of 142011972 is 279110241.

142011972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1420119723 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142011979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307822 + ... + 308282.

Almost surely, 2142011972 is an apocalyptic number.

142011972 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 142011972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184984800).

142011972 is an abundant number, since it is smaller than the sum of its proper divisors (227957628).

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

142011972 is a wasteful number, since it uses less digits than its factorization.

142011972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 142011972 is about 11916.8776111866. The cubic root of 142011972 is about 521.7250059908.

The spelling of 142011972 in words is "one hundred forty-two million, eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 199 258 387 398 461 516 597 774 796 922 1194 1383 1548 1791 1844 2388 2766 3582 4149 5532 7164 8298 8557 16596 17114 19823 25671 34228 39646 51342 59469 77013 79292 91739 102684 118938 154026 178407 183478 237876 275217 308052 356814 366956 550434 713628 825651 1100868 1651302 3302604 3944777 7889554 11834331 15779108 23668662 35502993 47337324 71005986 142011972