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145507677714 = 23277333157483
BaseRepresentation
bin1000011110000011101…
…1101111011000010010
3111220120200100220012200
42013200323233120102
54340444431141324
6150502330304030
713340546565510
oct2074073573022
9456520326180
10145507677714
1156789321a03
122424a288016
131094b9634a9
147084cc34b0
153bb950aec9
hex21e0eef612

145507677714 has 48 divisors (see below), whose sum is σ = 360356148672. Its totient is φ = 41567688864.

The previous prime is 145507677701. The next prime is 145507677727. The reversal of 145507677714 is 417776705541.

145507677714 is a `hidden beast` number, since 1 + 4 + 5 + 507 + 67 + 7 + 71 + 4 = 666.

145507677714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145507677701) and next prime (145507677727).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845217 + ... + 1002699.

It is an arithmetic number, because the mean of its divisors is an integer number (7507419764).

Almost surely, 2145507677714 is an apocalyptic number.

145507677714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145507677714 is an abundant number, since it is smaller than the sum of its proper divisors (214848470958).

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

145507677714 is a wasteful number, since it uses less digits than its factorization.

145507677714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164831 (or 164828 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 145507677714 in words is "one hundred forty-five billion, five hundred seven million, six hundred seventy-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 7333 14666 21999 43998 51331 65997 102662 131994 153993 157483 307986 314966 461979 472449 923958 944898 1102381 1417347 2204762 2834694 3307143 6614286 9921429 19842858 1154822839 2309645678 3464468517 6928937034 8083759873 10393405551 16167519746 20786811102 24251279619 48502559238 72753838857 145507677714