Search a number
-
+
144130040111310 = 23511628583694829
BaseRepresentation
bin100000110001010111100011…
…110101111010000011001110
3200220022200211022100100112020
4200301113203311322003032
5122342411310232030220
61230312232031551010
742234023520020151
oct4061274365720316
9626280738310466
10144130040111310
1141a192301a9190
12141b944a98b466
1362565347b6056
142783d07177c98
15119e246ad0040
hex8315e3d7a0ce

144130040111310 has 64 divisors (see below), whose sum is σ = 377359793902080. Its totient is φ = 34940509911680.

The previous prime is 144130040111273. The next prime is 144130040111329. The reversal of 144130040111310 is 13111040031441.

144130040111310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441300401113102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207084976 + ... + 207779804.

It is an arithmetic number, because the mean of its divisors is an integer number (5896246779720).

Almost surely, 2144130040111310 is an apocalyptic number.

144130040111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144130040111310 is an abundant number, since it is smaller than the sum of its proper divisors (233229753790770).

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

144130040111310 is a wasteful number, since it uses less digits than its factorization.

144130040111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323433.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 144130040111310 its reverse (13111040031441), we get a palindrome (157241080142751).

The spelling of 144130040111310 in words is "one hundred forty-four trillion, one hundred thirty billion, forty million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 628583 694829 1257166 1389658 1885749 2084487 3142915 3474145 3771498 4168974 6285830 6914413 6948290 7643119 9428745 10422435 13828826 15286238 18857490 20743239 20844870 22929357 34572065 38215595 41486478 45858714 69144130 76431190 103716195 114646785 207432390 229293570 436757697307 873515394614 1310273091921 2183788486535 2620546183842 4367576973070 4804334670377 6551365459605 9608669340754 13102730919210 14413004011131 24021673351885 28826008022262 48043346703770 72065020055655 144130040111310