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114041600504 = 23134727318543
BaseRepresentation
bin110101000110101101…
…0001011100111111000
3101220100202101112222122
41222031122023213320
53332024122204004
6124220123140412
711145025416206
oct1521532134770
9356322345878
10114041600504
1144401568417
121a128374708
13a9a59257b0
14573bc86076
152e76d38cbe
hex1a8d68b9f8

114041600504 has 64 divisors (see below), whose sum is σ = 235289456640. Its totient is φ = 51489809280.

The previous prime is 114041600467. The next prime is 114041600513. The reversal of 114041600504 is 405006140411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13344857 + ... + 13353399.

It is an arithmetic number, because the mean of its divisors is an integer number (3676397760).

Almost surely, 2114041600504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114041600504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117644728320).

114041600504 is an abundant number, since it is smaller than the sum of its proper divisors (121247856136).

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

114041600504 is a wasteful number, since it uses less digits than its factorization.

114041600504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 114041600504 its reverse (405006140411), we get a palindrome (519047740915).

The spelling of 114041600504 in words is "one hundred fourteen billion, forty-one million, six hundred thousand, five hundred four".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2444 2731 4888 5462 8543 10924 17086 21848 34172 35503 68344 71006 111059 128357 142012 222118 256714 284024 401521 444236 513428 803042 888472 1026856 1606084 1668641 3212168 3337282 5219773 6674564 10439546 13349128 20879092 23330933 41758184 46661866 93323732 186647464 303302129 606604258 1096553851 1213208516 2193107702 2426417032 4386215404 8772430808 14255200063 28510400126 57020800252 114041600504