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142308772236 = 22333188148247
BaseRepresentation
bin1000010010001001000…
…0111000100110001100
3111121022202001122212000
42010202100320212030
54312422021202421
6145213054512300
713165354414461
oct2044220704614
9447282048760
10142308772236
1155397656974
12236b6b05690
131055bcb8c07
146c60101668
153a7d777226
hex212243898c

142308772236 has 96 divisors (see below), whose sum is σ = 381290434560. Its totient is φ = 45852998400.

The previous prime is 142308772211. The next prime is 142308772261. The reversal of 142308772236 is 632277803241.

142308772236 is a `hidden beast` number, since 1 + 42 + 308 + 7 + 72 + 236 = 666.

It is an interprime number because it is at equal distance from previous prime (142308772211) and next prime (142308772261).

It is a junction number, because it is equal to n+sod(n) for n = 142308772191 and 142308772200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2925465 + ... + 2973711.

It is an arithmetic number, because the mean of its divisors is an integer number (3971775360).

Almost surely, 2142308772236 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 142308772236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190645217280).

142308772236 is an abundant number, since it is smaller than the sum of its proper divisors (238981662324).

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

142308772236 is a wasteful number, since it uses less digits than its factorization.

142308772236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49172 (or 49164 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 142308772236 in words is "one hundred forty-two billion, three hundred eight million, seven hundred seventy-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 881 1116 1674 1762 2643 3348 3524 5286 7929 10572 15858 23787 27311 31716 47574 48247 54622 81933 95148 96494 109244 144741 163866 192988 245799 289482 327732 434223 491598 578964 737397 868446 983196 1302669 1474794 1495657 1736892 2605338 2949588 2991314 4486971 5210676 5982628 8973942 13460913 17947884 26921826 40382739 42505607 53843652 80765478 85011214 127516821 161530956 170022428 255033642 382550463 510067284 765100926 1147651389 1317673817 1530201852 2295302778 2635347634 3953021451 4590605556 5270695268 7906042902 11859064353 15812085804 23718128706 35577193059 47436257412 71154386118 142308772236