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134311021726256 = 242310131746720627
BaseRepresentation
bin11110100010011110111000…
…101111010100101000110000
3122121120000020000221201111122
4132202132320233110220300
5120101022433030220011
61153353344231001412
740201436216602034
oct3642367057245060
9577500200851448
10134311021726256
1139882a91313171
1213092461509268
1359c3623772c1b
14252498c3681c4
15107db106443db
hex7a27b8bd4a30

134311021726256 has 80 divisors (see below), whose sum is σ = 271838644856064. Its totient is φ = 64165509864192.

The previous prime is 134311021726169. The next prime is 134311021726261. The reversal of 134311021726256 is 652627120113431.

134311021726256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1343110217262562 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6511407815 + ... + 6511428441.

Almost surely, 2134311021726256 is an apocalyptic number.

134311021726256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134311021726256 is an abundant number, since it is smaller than the sum of its proper divisors (137527623129808).

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

134311021726256 is a wasteful number, since it uses less digits than its factorization.

134311021726256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39138 (or 39132 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

Adding to 134311021726256 its reverse (652627120113431), we get a palindrome (786938141839687).

The spelling of 134311021726256 in words is "one hundred thirty-four trillion, three hundred eleven billion, twenty-one million, seven hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 1013 2026 4052 8104 16208 17467 20627 23299 34934 41254 46598 69868 82508 93196 139736 165016 186392 279472 330032 372784 401741 474421 803482 948842 1606964 1897684 3213928 3795368 6427856 7590736 17694071 20895151 35388142 41790302 70776284 83580604 141552568 167161208 283105136 334322416 360291809 406963633 480588473 720583618 813927266 961176946 1441167236 1627854532 1922353892 2882334472 3255709064 3844707784 5764668944 6511418128 7689415568 8286711607 16573423214 33146846428 66293692856 132587385712 364975602517 729951205034 1459902410068 2919804820136 5839609640272 8394438857891 16788877715782 33577755431564 67155510863128 134311021726256