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100444132430514 = 2332975784729947
BaseRepresentation
bin10110110101101001111000…
…110101010101001010110010
3111011122100212021211122202000
4112311221320311111022302
5101131134040400234024
6553343221502034430
730104564144413365
oct2665517065251262
9434570767748660
10100444132430514
112a006132202844
12b3228b4878a16
134407ac1a150a2
141ab374432a0dc
15b92bb0883cc9
hex5b5a78d552b2

100444132430514 has 64 divisors (see below), whose sum is σ = 231211082102400. Its totient is φ = 32284142944704.

The previous prime is 100444132430461. The next prime is 100444132430519. The reversal of 100444132430514 is 415034231444001.

It is a happy number.

100444132430514 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 4 + 132 + 4 + 3 + 0 + 514 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100444132430519) 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, 41179512 + ... + 43550435.

It is an arithmetic number, because the mean of its divisors is an integer number (3612673157850).

Almost surely, 2100444132430514 is an apocalyptic number.

100444132430514 is an abundant number, since it is smaller than the sum of its proper divisors (130766949671886).

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

100444132430514 is a wasteful number, since it uses less digits than its factorization.

100444132430514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84730744 (or 84730738 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 100444132430514 its reverse (415034231444001), we get a palindrome (515478363874515).

The spelling of 100444132430514 in words is "one hundred trillion, four hundred forty-four billion, one hundred thirty-two million, four hundred thirty thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 757 783 1514 1566 2271 4542 6813 13626 20439 21953 40878 43906 65859 131718 197577 395154 592731 1185462 84729947 169459894 254189841 508379682 762569523 1525139046 2287708569 2457168463 4575417138 4914336926 7371505389 14743010778 22114516167 44229032334 64140569879 66343548501 128281139758 132687097002 192421709637 384843419274 577265128911 1154530257822 1731795386733 1860076526491 3463590773466 3720153052982 5580229579473 11160459158946 16740688738419 33481377476838 50222066215257 100444132430514