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1432041122440 = 235293733365357
BaseRepresentation
bin10100110101101100010…
…011010110101010001000
312001220100102000110110101
4110311230103112222020
5141430310011404230
63013512015055144
7205314212462125
oct24655423265210
95056312013411
101432041122440
11502363975875
121b16578114b4
13a506bb13a16
144d44db7574c
15273b6070aca
hex14d6c4d6a88

1432041122440 has 64 divisors (see below), whose sum is σ = 3423285730800. Its totient is φ = 538116461568.

The previous prime is 1432041122423. The next prime is 1432041122443. The reversal of 1432041122440 is 442211402341.

It can be written as a sum of positive squares in 8 ways, for example, as 1158288232644 + 273752889796 = 1076238^2 + 523214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1432041122399 and 1432041122408.

It is not an unprimeable number, because it can be changed into a prime (1432041122443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16639759 + ... + 16725598.

Almost surely, 21432041122440 is an apocalyptic number.

1432041122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1432041122440 is an abundant number, since it is smaller than the sum of its proper divisors (1991244608360).

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

1432041122440 is a wasteful number, since it uses less digits than its factorization.

1432041122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33365434 (or 33365430 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1432041122440 its reverse (442211402341), we get a palindrome (1874252524781).

The spelling of 1432041122440 in words is "one trillion, four hundred thirty-two billion, forty-one million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 580 740 1073 1160 1480 2146 4292 5365 8584 10730 21460 42920 33365357 66730714 133461428 166826785 266922856 333653570 667307140 967595353 1234518209 1334614280 1935190706 2469036418 3870381412 4837976765 4938072836 6172591045 7740762824 9675953530 9876145672 12345182090 19351907060 24690364180 35801028061 38703814120 49380728360 71602056122 143204112244 179005140305 286408224488 358010280610 716020561220 1432041122440