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23440101051144 = 2335113544135107
BaseRepresentation
bin1010101010001100100101…
…11001011000101100001000
310001222211222221111121201010
411111012102321120230020
511033020311332114034
6121504122254323520
74636330361341401
oct525062271305410
9101884887447633
1023440101051144
117517988a63398
122766a224b95a0
1310105134255ab
145b07150aa9a8
152a9ae67bb3e9
hex155192e58b08

23440101051144 has 64 divisors (see below), whose sum is σ = 58624155714240. Its totient is φ = 7810180669440.

The previous prime is 23440101051131. The next prime is 23440101051167. The reversal of 23440101051144 is 44115010104432.

It is an unprimeable number.

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, 667658439 + ... + 667693545.

It is an arithmetic number, because the mean of its divisors is an integer number (916002433035).

Almost surely, 223440101051144 is an apocalyptic number.

23440101051144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23440101051144 is an abundant number, since it is smaller than the sum of its proper divisors (35184054663096).

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

23440101051144 is a wasteful number, since it uses less digits than its factorization.

23440101051144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45670 (or 45666 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 23440101051144 its reverse (44115010104432), we get a palindrome (67555111155576).

The spelling of 23440101051144 in words is "twenty-three trillion, four hundred forty billion, one hundred one million, fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 5113 5441 10226 10882 15339 16323 20452 21764 30678 32646 35107 40904 43528 61356 65292 70214 105321 122712 130584 140428 210642 280856 421284 842568 27819833 55639666 83459499 111279332 166918998 179502091 191017187 222558664 333837996 359004182 382034374 538506273 573051561 667675992 718008364 764068748 1077012546 1146103122 1436016728 1528137496 2154025092 2292206244 4308050184 4584412488 976670877131 1953341754262 2930012631393 3906683508524 5860025262786 7813367017048 11720050525572 23440101051144