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142085944 = 237112131613
BaseRepresentation
bin10000111100000…
…00111100111000
3100220100201021101
420132000330320
5242333222234
622033221144
73343465510
oct1036007470
9326321241
10142085944
1173227300
123b7017b4
132358a930
1414c28840
15c719814
hex8780f38

142085944 has 96 divisors (see below), whose sum is σ = 360632160. Its totient is φ = 51068160.

The previous prime is 142085941. The next prime is 142085947. The reversal of 142085944 is 449580241.

It is an interprime number because it is at equal distance from previous prime (142085941) and next prime (142085947).

It is a super-2 number, since 2×1420859442 = 40376830964742272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142085941) 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, 87282 + ... + 88894.

It is an arithmetic number, because the mean of its divisors is an integer number (3756585).

Almost surely, 2142085944 is an apocalyptic number.

142085944 is a gapful number since it is divisible by the number (14) 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 142085944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180316080).

142085944 is an abundant number, since it is smaller than the sum of its proper divisors (218546216).

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

142085944 is a wasteful number, since it uses less digits than its factorization.

142085944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 142085944 is about 11919.9808724679. The cubic root of 142085944 is about 521.8155766253.

It can be divided in two parts, 14 and 2085944, that multiplied together give a square (29203216 = 54042).

The spelling of 142085944 in words is "one hundred forty-two million, eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 242 286 308 364 484 572 616 728 847 968 1001 1144 1573 1613 1694 2002 3146 3226 3388 4004 6292 6452 6776 8008 11011 11291 12584 12904 17743 20969 22022 22582 35486 41938 44044 45164 70972 83876 88088 90328 124201 141944 146783 167752 195173 230659 248402 293566 390346 461318 496804 587132 780692 922636 993608 1174264 1366211 1561384 1614613 1845272 2537249 2732422 3229226 5074498 5464844 6458452 10148996 10929688 12916904 17760743 20297992 35521486 71042972 142085944