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10454120144 = 2413160131393
BaseRepresentation
bin10011011110001110…
…10011011011010000
3222222120021022211222
421233013103123100
5132402223321034
64445204024212
7520030361246
oct115707233320
928876238758
1010454120144
114485095216
122039092068
13ca7aca610
147125b4796
15412bb212e
hex26f1d36d0

10454120144 has 40 divisors (see below), whose sum is σ = 21827243592. Its totient is φ = 4821811200.

The previous prime is 10454120141. The next prime is 10454120161. The reversal of 10454120144 is 44102145401.

It can be written as a sum of positive squares in 4 ways, for example, as 6542868544 + 3911251600 = 80888^2 + 62540^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10454120141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317312 + ... + 348704.

Almost surely, 210454120144 is an apocalyptic number.

It is an amenable number.

10454120144 is an abundant number, since it is smaller than the sum of its proper divisors (11373123448).

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

10454120144 is a wasteful number, since it uses less digits than its factorization.

10454120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33015 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 10454120144 its reverse (44102145401), we get a palindrome (54556265545).

The spelling of 10454120144 in words is "ten billion, four hundred fifty-four million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1601 3202 6404 12808 20813 25616 31393 41626 62786 83252 125572 166504 251144 333008 408109 502288 816218 1632436 3264872 6529744 50260193 100520386 201040772 402081544 653382509 804163088 1306765018 2613530036 5227060072 10454120144