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34111430230440 = 2335318789194201
BaseRepresentation
bin1111100000110001011111…
…01011101000000110101000
311110210000120020000200010010
413300120233223220012220
513432340202114333230
6200314324045451520
710120320016623663
oct760305753500650
9143700506020103
1034111430230440
11a96163809a062
1239ab034b70ba0
131605903b39184
1485d0058106da
153e24b36e39b0
hex1f062fae81a8

34111430230440 has 64 divisors (see below), whose sum is σ = 102366401751360. Its totient is φ = 9093527078400.

The previous prime is 34111430230433. The next prime is 34111430230529. The reversal of 34111430230440 is 4403203411143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34111430230398 and 34111430230407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44214661 + ... + 44979540.

It is an arithmetic number, because the mean of its divisors is an integer number (1599475027365).

Almost surely, 234111430230440 is an apocalyptic number.

34111430230440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34111430230440 is an abundant number, since it is smaller than the sum of its proper divisors (68254971520920).

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

34111430230440 is a wasteful number, since it uses less digits than its factorization.

34111430230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89197402 (or 89197398 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34111430230440 its reverse (4403203411143), we get a palindrome (38514633641583).

The spelling of 34111430230440 in words is "thirty-four trillion, one hundred eleven billion, four hundred thirty million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3187 6374 9561 12748 15935 19122 25496 31870 38244 47805 63740 76488 95610 127480 191220 382440 89194201 178388402 267582603 356776804 445971005 535165206 713553608 891942010 1070330412 1337913015 1783884020 2140660824 2675826030 3567768040 5351652060 10703304120 284261918587 568523837174 852785755761 1137047674348 1421309592935 1705571511522 2274095348696 2842619185870 3411143023044 4263928778805 5685238371740 6822286046088 8527857557610 11370476743480 17055715115220 34111430230440