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1414120616120 = 235313774114591
BaseRepresentation
bin10100100101000000001…
…010000011000010111000
312000012002111102102021002
4110211000022003002320
5141132104334203440
63001345452304132
7204111140624042
oct24450012030270
95005074372232
101414120616120
114a57a8249173
121aa096172048
13a34741c7224
144c62db1ca92
1526bb7b6b115
hex149402830b8

1414120616120 has 64 divisors (see below), whose sum is σ = 3192567920640. Its totient is φ = 563729587200.

The previous prime is 1414120616089. The next prime is 1414120616123. The reversal of 1414120616120 is 216160214141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414120616123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96910025 + ... + 96924615.

It is an arithmetic number, because the mean of its divisors is an integer number (49883873760).

Almost surely, 21414120616120 is an apocalyptic number.

1414120616120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414120616120 is an abundant number, since it is smaller than the sum of its proper divisors (1778447304520).

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

1414120616120 is a wasteful number, since it uses less digits than its factorization.

1414120616120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22656 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 1414120616120 in words is "one trillion, four hundred fourteen billion, one hundred twenty million, six hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 7741 12520 14591 15482 29182 30964 38705 58364 61928 72955 77410 116728 145910 154820 291820 309640 583640 2422933 4566983 4845866 9133966 9691732 12114665 18267932 19383464 22834915 24229330 36535864 45669830 48458660 91339660 96917320 112948931 182679320 225897862 451795724 564744655 903591448 1129489310 2258978620 4517957240 35353015403 70706030806 141412061612 176765077015 282824123224 353530154030 707060308060 1414120616120