Search a number
-
+
142749552262416 = 243111737192173531
BaseRepresentation
bin100000011101010001111000…
…010110101011110100010000
3200201102201112201220112102120
4200131101320112223310100
5122202302040334344131
61223334123342214240
742032212656636051
oct4035217026536420
9621381481815376
10142749552262416
1141536821862910
12140159a0284380
1361862c0497728
142737188142728
15117839b973496
hex81d4785abd10

142749552262416 has 160 divisors (see below), whose sum is σ = 405182532372480. Its totient is φ = 42947561740800.

The previous prime is 142749552262379. The next prime is 142749552262501. The reversal of 142749552262416 is 614262255947241.

It is a super-2 number, since 2×1427495522624162 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142749552262416.

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, 64589571 + ... + 66763101.

It is an arithmetic number, because the mean of its divisors is an integer number (2532390827328).

Almost surely, 2142749552262416 is an apocalyptic number.

142749552262416 is a gapful number since it is divisible by the number (16) 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 142749552262416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202591266186240).

142749552262416 is an abundant number, since it is smaller than the sum of its proper divisors (262432980110064).

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

142749552262416 is a wasteful number, since it uses less digits than its factorization.

142749552262416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174445 (or 2174439 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 142749552262416 in words is "one hundred forty-two trillion, seven hundred forty-nine billion, five hundred fifty-two million, two hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 173 176 264 346 519 528 692 719 1038 1384 1438 1903 2076 2157 2768 2876 3806 4152 4314 5709 5752 7612 7909 8304 8628 11418 11504 15224 15818 17256 22836 23727 30448 31636 34512 45672 47454 63272 91344 94908 124387 126544 189816 248774 373161 379632 497548 746322 995096 1368257 1492644 1990192 2173531 2736514 2985288 4104771 4347062 5473028 5970576 6520593 8209542 8694124 10946056 13041186 16419084 17388248 21892112 23908841 26082372 32838168 34776496 47817682 52164744 65676336 71726523 95635364 104329488 143453046 191270728 286906092 376020863 382541456 573812184 752041726 1128062589 1147624368 1504083452 1562768789 2256125178 3008166904 3125537578 4136229493 4512250356 4688306367 6016333808 6251075156 8272458986 9024500712 9376612734 12408688479 12502150312 16544917972 17190456679 18049001424 18753225468 24817376958 25004300624 33089835944 34380913358 37506450936 49634753916 51571370037 66179671888 68761826716 75012901872 99269507832 103142740074 137523653432 198539015664 206285480148 270359000497 275047306864 412570960296 540718000994 811077001491 825141920592 1081436001988 1622154002982 2162872003976 2973949005467 3244308005964 4325744007952 5947898010934 6488616011928 8921847016401 11895796021868 12977232023856 17843694032802 23791592043736 35687388065604 47583184087472 71374776131208 142749552262416