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34054305535140 = 223511114474507507
BaseRepresentation
bin1111011111000111000101…
…10010001101010010100100
311110120120010002211110220120
413233203202302031102210
513430421204204111030
6200232155413201540
710113225303003552
oct757434262152244
9143516102743816
1034054305535140
11a93a393753a80
12399bb520302b0
1316003cbcb4417
1485a346b84bd2
153e0c6d603010
hex1ef8e2c8d4a4

34054305535140 has 96 divisors (see below), whose sum is σ = 104029534393344. Its totient is φ = 8254866188160.

The previous prime is 34054305535091. The next prime is 34054305535183. The reversal of 34054305535140 is 4153550345043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34054305535092 and 34054305535101.

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 31 ways as a sum of consecutive naturals, for example, 5301267 + ... + 9808773.

It is an arithmetic number, because the mean of its divisors is an integer number (1083640983264).

Almost surely, 234054305535140 is an apocalyptic number.

34054305535140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34054305535140 is an abundant number, since it is smaller than the sum of its proper divisors (69975228858204).

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

34054305535140 is a wasteful number, since it uses less digits than its factorization.

34054305535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518977 (or 4518975 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 34054305535140 in words is "thirty-four trillion, fifty-four billion, three hundred five million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 11447 22894 34341 45788 57235 68682 114470 125917 137364 171705 228940 251834 343410 377751 503668 629585 686820 755502 1259170 1511004 1888755 2518340 3777510 4507507 7555020 9015014 13522521 18030028 22537535 27045042 45075070 49582577 54090084 67612605 90150140 99165154 135225210 148747731 198330308 247912885 270450420 297495462 495825770 594990924 743738655 991651540 1487477310 2974954620 51597432629 103194865258 154792297887 206389730516 257987163145 309584595774 515974326290 567571758919 619169191548 773961489435 1031948652580 1135143517838 1547922978870 1702715276757 2270287035676 2837858794595 3095845957740 3405430553514 5675717589190 6810861107028 8513576383785 11351435178380 17027152767570 34054305535140