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514462045940 = 22537733948457
BaseRepresentation
bin1110111110010000101…
…00111101011011110100
31211011220202002202200122
413133020110331123310
531412104240432230
61032201323031112
752111564144523
oct7371024753364
91734822082618
10514462045940
1118920045a687
128385836b498
133968a3b34cb
141ac85c124ba
15d5b05d3be5
hex77c853d6f4

514462045940 has 48 divisors (see below), whose sum is σ = 1111084402512. Its totient is φ = 199949700096.

The previous prime is 514462045931. The next prime is 514462045957. The reversal of 514462045940 is 49540264415.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 158394448144 + 356067597796 = 397988^2 + 596714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514462045891 and 514462045900.

It is a congruent number.

It is an unprimeable number.

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, 68192 + ... + 1016648.

It is an arithmetic number, because the mean of its divisors is an integer number (23147591719).

Almost surely, 2514462045940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514462045940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555542201256).

514462045940 is an abundant number, since it is smaller than the sum of its proper divisors (596622356572).

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

514462045940 is a wasteful number, since it uses less digits than its factorization.

514462045940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949236 (or 949234 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 514462045940 in words is "five hundred fourteen billion, four hundred sixty-two million, forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 733 740 1466 2932 3665 7330 14660 27121 54242 108484 135605 271210 542420 948457 1896914 3793828 4742285 9484570 18969140 35092909 70185818 140371636 175464545 350929090 695218981 701858180 1390437962 2780875924 3476094905 6952189810 13904379620 25723102297 51446204594 102892409188 128615511485 257231022970 514462045940