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142040213112 = 23377359319531
BaseRepresentation
bin1000010001001001000…
…0011010011001111000
3111120122000201102222210
42010102100122121320
54311344243304422
6145130302415120
713155613614330
oct2042220323170
9446560642883
10142040213112
1155269aa7486
1223640b914a0
1310518478ba5
146c365940c0
153a64dc910c
hex211241a678

142040213112 has 128 divisors (see below), whose sum is σ = 412103324160. Its totient is φ = 39957442560.

The previous prime is 142040213087. The next prime is 142040213137. The reversal of 142040213112 is 211312040241.

It is an interprime number because it is at equal distance from previous prime (142040213087) and next prime (142040213137).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7262787 + ... + 7282317.

It is an arithmetic number, because the mean of its divisors is an integer number (3219557220).

Almost surely, 2142040213112 is an apocalyptic number.

142040213112 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 142040213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206051662080).

142040213112 is an abundant number, since it is smaller than the sum of its proper divisors (270063111048).

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

142040213112 is a wasteful number, since it uses less digits than its factorization.

142040213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20213 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 142040213112 its reverse (211312040241), we get a palindrome (353352253353).

The spelling of 142040213112 in words is "one hundred forty-two billion, forty million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 593 876 1022 1186 1533 1752 1779 2044 2372 3066 3558 4088 4151 4744 6132 7116 8302 12264 12453 14232 16604 19531 24906 33208 39062 43289 49812 58593 78124 86578 99624 117186 129867 136717 156248 173156 234372 259734 273434 303023 346312 410151 468744 519468 546868 606046 820302 909069 1038936 1093736 1212092 1425763 1640604 1818138 2424184 2851526 3281208 3636276 4277289 5703052 7272552 8554578 9980341 11406104 11581883 17109156 19960682 23163766 29941023 34218312 34745649 39921364 46327532 59882046 69491298 79842728 81073181 92655064 119764092 138982596 162146362 239528184 243219543 277965192 324292724 486439086 648585448 845477459 972878172 1690954918 1945756344 2536432377 3381909836 5072864754 5918342213 6763819672 10145729508 11836684426 17755026639 20291459016 23673368852 35510053278 47346737704 71020106556 142040213112