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1220443434440 = 235292514191659
BaseRepresentation
bin10001110000101000000…
…110001110110111001000
311022200011210122011220222
4101300220012032313020
5124443432004400230
62332355230205212
7154113504012506
oct21605006166710
94280153564828
101220443434440
11430650557a5a
12178644053808
138b119b00a89
14430d967d676
1521b2e8496e5
hex11c2818edc8

1220443434440 has 64 divisors (see below), whose sum is σ = 2852005464000. Its totient is φ = 469465696000.

The previous prime is 1220443434439. The next prime is 1220443434443. The reversal of 1220443434440 is 444343440221.

It is a super-2 number, since 2×12204434344402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1220443434440.

It is not an unprimeable number, because it can be changed into a prime (1220443434443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1804670 + ... + 2386989.

It is an arithmetic number, because the mean of its divisors is an integer number (44562585375).

Almost surely, 21220443434440 is an apocalyptic number.

1220443434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220443434440 is an abundant number, since it is smaller than the sum of its proper divisors (1631562029560).

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

1220443434440 is a wasteful number, since it uses less digits than its factorization.

1220443434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191950 (or 4191946 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 1220443434440 its reverse (444343440221), we get a palindrome (1664786874661).

The spelling of 1220443434440 in words is "one trillion, two hundred twenty billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 251 290 502 580 1004 1160 1255 2008 2510 5020 7279 10040 14558 29116 36395 58232 72790 145580 291160 4191659 8383318 16766636 20958295 33533272 41916590 83833180 121558111 167666360 243116222 486232444 607790555 972464888 1052106409 1215581110 2104212818 2431162220 4208425636 4862324440 5260532045 8416851272 10521064090 21042128180 30511085861 42084256360 61022171722 122044343444 152555429305 244088686888 305110858610 610221717220 1220443434440