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1414246511034 = 232715176996661
BaseRepresentation
bin10100100101000111101…
…010010011000110111010
312000012102021022112121200
4110211013222103012322
5141132334101323114
63001410150515030
7204114226666440
oct24450752230672
95005367275550
101414246511034
114a5862316955
121aa110365a76
13a3494306366
144c642730b90
1526bc3c38409
hex14947a931ba

1414246511034 has 96 divisors (see below), whose sum is σ = 3529755989760. Its totient is φ = 400868352000.

The previous prime is 1414246511011. The next prime is 1414246511071. The reversal of 1414246511034 is 4301156424141.

1414246511034 is a `hidden beast` number, since 1 + 41 + 42 + 465 + 110 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1414246511034.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14582664 + ... + 14679324.

It is an arithmetic number, because the mean of its divisors is an integer number (36768291560).

Almost surely, 21414246511034 is an apocalyptic number.

1414246511034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414246511034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764877994880).

1414246511034 is an abundant number, since it is smaller than the sum of its proper divisors (2115509478726).

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

1414246511034 is a wasteful number, since it uses less digits than its factorization.

1414246511034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97596 (or 97593 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1414246511034 in words is "one trillion, four hundred fourteen billion, two hundred forty-six million, five hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 453 769 906 1057 1359 1538 2114 2307 2718 3171 4614 5383 6342 6921 9513 10766 13842 16149 19026 32298 48447 96661 96894 116119 193322 232238 289983 348357 579966 676627 696714 812833 869949 1045071 1353254 1625666 1739898 2029881 2090142 2438499 4059762 4876998 6089643 7315497 12179286 14595811 14630994 29191622 43787433 74332309 87574866 102170677 131362299 148664618 204341354 222996927 262724598 306512031 445993854 520326163 613024062 668990781 919536093 1040652326 1337981562 1560978489 1839072186 3121956978 4682935467 9365870934 11224178659 22448357318 33672535977 67345071954 78569250613 101017607931 157138501226 202035215862 235707751839 471415503678 707123255517 1414246511034