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134434651561644 = 223713011230140291
BaseRepresentation
bin11110100100010010000001…
…101001101101111010101100
3122121222211100000022002001210
4132210102001221231322230
5120110034131244433034
61153530232031234420
740213403663060640
oct3644220151557254
9577884300262053
10134434651561644
1139920463114345
12130b2404978a10
135a02196985485
14252a9597c8c20
151081e491018e9
hex7a4481a6deac

134434651561644 has 48 divisors (see below), whose sum is σ = 358767955881216. Its totient is φ = 38380377048000.

The previous prime is 134434651561643. The next prime is 134434651561657. The reversal of 134434651561644 is 446165156434431.

It is a super-3 number, since 3×1344346515616443 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134434651561643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614960862 + ... + 615179429.

It is an arithmetic number, because the mean of its divisors is an integer number (7474332414192).

Almost surely, 2134434651561644 is an apocalyptic number.

134434651561644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

134434651561644 is an abundant number, since it is smaller than the sum of its proper divisors (224333304319572).

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

134434651561644 is a wasteful number, since it uses less digits than its factorization.

134434651561644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230141606 (or 1230141604 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 57.

The spelling of 134434651561644 in words is "one hundred thirty-four trillion, four hundred thirty-four billion, six hundred fifty-one million, five hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1301 2602 3903 5204 7806 9107 15612 18214 27321 36428 54642 109284 1230140291 2460280582 3690420873 4920561164 7380841746 8610982037 14761683492 17221964074 25832946111 34443928148 51665892222 103331784444 1600412518591 3200825037182 4801237555773 6401650074364 9602475111546 11202887630137 19204950223092 22405775260274 33608662890411 44811550520548 67217325780822 134434651561644