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142347750072 = 233112573136703
BaseRepresentation
bin1000010010010010010…
…1100100101010111000
3111121102110101221101120
42010210211210222320
54313012011000242
6145221010145240
713166336624463
oct2044445445270
9447373357346
10142347750072
1155407659560
1223707b82220
13105670b5418
146c6536a2da
153a81dc61ec
hex2124964ab8

142347750072 has 128 divisors (see below), whose sum is σ = 391035202560. Its totient is φ = 42824171520.

The previous prime is 142347750031. The next prime is 142347750091. The reversal of 142347750072 is 270057743241.

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, 21233073 + ... + 21239775.

It is an arithmetic number, because the mean of its divisors is an integer number (3054962520).

Almost surely, 2142347750072 is an apocalyptic number.

142347750072 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 142347750072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195517601280).

142347750072 is an abundant number, since it is smaller than the sum of its proper divisors (248687452488).

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

142347750072 is a wasteful number, since it uses less digits than its factorization.

142347750072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 142347750072 in words is "one hundred forty-two billion, three hundred forty-seven million, seven hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 313 514 626 771 939 1028 1252 1542 1878 2056 2504 2827 3084 3443 3756 5654 6168 6703 6886 7512 8481 10329 11308 13406 13772 16962 20109 20658 22616 26812 27544 33924 40218 41316 53624 67848 73733 80436 80441 82632 147466 160872 160882 221199 241323 294932 321764 442398 482646 589864 643528 884796 884851 965292 1722671 1769592 1769702 1930584 2098039 2654553 3445342 3539404 4196078 5168013 5309106 6294117 6890684 7078808 8392156 10336026 10618212 12588234 13781368 16784312 18949381 20672052 21236424 23078429 25176468 37898762 41344104 46156858 50352936 56848143 69235287 75797524 92313716 113696286 138470574 151595048 184627432 227392572 276941148 454785144 539196023 553882296 1078392046 1617588069 2156784092 3235176138 4313568184 5931156253 6470352276 11862312506 12940704552 17793468759 23724625012 35586937518 47449250024 71173875036 142347750072