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135211446122416 = 2431883308724487
BaseRepresentation
bin11110101111100101011110…
…001101110011011110110000
3122201202002101011022100211021
4132233211132031303132300
5120210301020201404131
61155323140354425224
740323463452643126
oct3657453615633660
9581662334270737
10135211446122416
113a09a941421094
12131b8a73892214
135a5a500132a01
1425563a9c65916
151097260052e11
hex7af95e3737b0

135211446122416 has 40 divisors (see below), whose sum is σ = 270729147812864. Its totient is φ = 65350799196480.

The previous prime is 135211446122303. The next prime is 135211446122461. The reversal of 135211446122416 is 614221644112531.

135211446122416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153924276 + ... + 154800211.

Almost surely, 2135211446122416 is an apocalyptic number.

135211446122416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135211446122416 is an abundant number, since it is smaller than the sum of its proper divisors (135517701690448).

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

135211446122416 is a wasteful number, since it uses less digits than its factorization.

135211446122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308725409 (or 308725403 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The spelling of 135211446122416 in words is "one hundred thirty-five trillion, two hundred eleven billion, four hundred forty-six million, one hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 883 1766 3532 7064 14128 27373 54746 109492 218984 437968 308724487 617448974 1234897948 2469795896 4939591792 9570459097 19140918194 38281836388 76563672776 153127345552 272603722021 545207444042 1090414888084 2180829776168 4361659552336 8450715382651 16901430765302 33802861530604 67605723061208 135211446122416