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1214343303432 = 2337411511167539
BaseRepresentation
bin10001101010111100100…
…000000101000100001000
311022002102200011102022220
4101222330200011010020
5124343433341202212
62325510035214040
7153506362525140
oct21527440050410
94262380142286
101214343303432
11429000156276
12177421147320
138a6870769bc
1442abb447920
15218c403338c
hex11abc805108

1214343303432 has 128 divisors (see below), whose sum is σ = 3577716172800. Its totient is φ = 336250944000.

The previous prime is 1214343303431. The next prime is 1214343303443. The reversal of 1214343303432 is 2343033434121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1214343303393 and 1214343303402.

It is not an unprimeable number, because it can be changed into a prime (1214343303431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456319 + ... + 1623857.

It is an arithmetic number, because the mean of its divisors is an integer number (27950907600).

Almost surely, 21214343303432 is an apocalyptic number.

1214343303432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214343303432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788858086400).

1214343303432 is an abundant number, since it is smaller than the sum of its proper divisors (2363372869368).

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

1214343303432 is a wasteful number, since it uses less digits than its factorization.

1214343303432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167747 (or 1167743 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 1214343303432 its reverse (2343033434121), we get a palindrome (3557376737553).

The spelling of 1214343303432 in words is "one trillion, two hundred fourteen billion, three hundred forty-three million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 151 164 168 246 287 302 328 453 492 574 604 861 906 984 1057 1148 1208 1722 1812 2114 2296 3171 3444 3624 4228 6191 6342 6888 8456 12382 12684 18573 24764 25368 37146 43337 49528 74292 86674 130011 148584 173348 260022 346696 520044 1040088 1167539 2335078 3502617 4670156 7005234 8172773 9340312 14010468 16345546 24518319 28020936 32691092 47869099 49036638 65382184 95738198 98073276 143607297 176298389 191476396 196146552 287214594 335083693 352596778 382952792 528895167 574429188 670167386 705193556 1005251079 1057790334 1148858376 1234088723 1340334772 1410387112 2010502158 2115580668 2468177446 2680669544 3702266169 4021004316 4231161336 4936354892 7228233949 7404532338 8042008632 9872709784 14456467898 14809064676 21684701847 28912935796 29618129352 43369403694 50597637643 57825871592 86738807388 101195275286 151792912929 173477614776 202390550572 303585825858 404781101144 607171651716 1214343303432