Search a number
-
+
10142323455 = 35112231511609
BaseRepresentation
bin10010111001000011…
…11001001011111111
3222011211120102012110
421130201321023333
5131232413322310
64354225105103
7506223220065
oct113441711377
928154512173
1010142323455
114335093800
121b70788193
13c5832c234
146c3010035
153e5622d20
hex25c8792ff

10142323455 has 96 divisors (see below), whose sum is σ = 18747509760. Its totient is φ = 4669632000.

The previous prime is 10142323447. The next prime is 10142323511. The reversal of 10142323455 is 55432324101.

It is not a de Polignac number, because 10142323455 - 23 = 10142323447 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6302691 + ... + 6304299.

It is an arithmetic number, because the mean of its divisors is an integer number (195286560).

Almost surely, 210142323455 is an apocalyptic number.

10142323455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10142323455 is a deficient number, since it is larger than the sum of its proper divisors (8605186305).

10142323455 is a wasteful number, since it uses less digits than its factorization.

10142323455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10142323455 its reverse (55432324101), we get a palindrome (65574647556).

The spelling of 10142323455 in words is "ten billion, one hundred forty-two million, three hundred twenty-three thousand, four hundred fifty-five".

Divisors: 1 3 5 11 15 23 33 55 69 115 121 151 165 253 345 363 453 605 755 759 1265 1609 1661 1815 2265 2783 3473 3795 4827 4983 8045 8305 8349 10419 13915 17365 17699 18271 24135 24915 37007 38203 41745 52095 53097 54813 88495 91355 111021 114609 185035 191015 194689 242959 265485 274065 407077 420233 555105 573045 584067 728877 973445 1214795 1221231 1260699 2035385 2101165 2672549 2920335 3644385 4477847 5588057 6106155 6303495 8017647 13362745 13433541 16764171 22389235 27940285 29398039 40088235 61468627 67167705 83820855 88194117 146990195 184405881 307343135 440970585 676154897 922029405 2028464691 3380774485 10142323455