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1211342342144 = 21111311734533
BaseRepresentation
bin10001101000001001101…
…000010100100000000000
311021210200112022210100112
4101220021220110200000
5124321312114422034
62324252154210452
7153342123006644
oct21501150244000
94253615283315
101211342342144
11427800199680
12176924123a28
138a2c9416a6c
14428b4a70c24
152179a84e7ce
hex11a09a14800

1211342342144 has 96 divisors (see below), whose sum is σ = 2727520024320. Its totient is φ = 532848230400.

The previous prime is 1211342342107. The next prime is 1211342342167. The reversal of 1211342342144 is 4412432431121.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1211342342144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168899 + ... + 1565634.

It is an arithmetic number, because the mean of its divisors is an integer number (28411666920).

Almost surely, 21211342342144 is an apocalyptic number.

It is an amenable number.

1211342342144 is an abundant number, since it is smaller than the sum of its proper divisors (1516177682176).

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

1211342342144 is a wasteful number, since it uses less digits than its factorization.

1211342342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734597 (or 1734577 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 1211342342144 its reverse (4412432431121), we get a palindrome (5623774773265).

The spelling of 1211342342144 in words is "one trillion, two hundred eleven billion, three hundred forty-two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1984 2048 2728 2816 3968 5456 5632 7936 10912 11264 15872 21824 22528 31744 43648 63488 87296 174592 349184 698368 1734533 3469066 6938132 13876264 19079863 27752528 38159726 53770523 55505056 76319452 107541046 111010112 152638904 215082092 222020224 305277808 430164184 444040448 591475753 610555616 860328368 888080896 1182951506 1221111232 1720656736 1776161792 2365903012 2442222464 3441313472 3552323584 4731806024 4884444928 6882626944 9463612048 9768889856 13765253888 18927224096 19537779712 27530507776 37854448192 39075559424 55061015552 75708896384 110122031104 151417792768 302835585536 605671171072 1211342342144