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1414040131124 = 221961937398039
BaseRepresentation
bin10100100100111011010…
…111000001011000110100
312000011212212222100121022
4110210323113001120310
5141131423233143444
63001333455240312
7204106142540645
oct24447327013064
95004785870538
101414040131124
114a5766876645
121aa073219098
13a346062717a
144c62316b6cc
1526bb0a6d9ee
hex1493b5c1634

1414040131124 has 48 divisors (see below), whose sum is σ = 2610041280000. Its totient is φ = 668464386912.

The previous prime is 1414040131121. The next prime is 1414040131187. The reversal of 1414040131124 is 4211310404141.

It is a happy number.

It is a super-2 number, since 2×14140401311242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1414040131093 and 1414040131102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414040131121) by changing a digit.

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, 175893497 + ... + 175901535.

It is an arithmetic number, because the mean of its divisors is an integer number (54375860000).

Almost surely, 21414040131124 is an apocalyptic number.

It is an amenable number.

1414040131124 is a deficient number, since it is larger than the sum of its proper divisors (1196001148876).

1414040131124 is a wasteful number, since it uses less digits than its factorization.

1414040131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420 (or 12418 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1414040131124 its reverse (4211310404141), we get a palindrome (5625350535265).

The spelling of 1414040131124 in words is "one trillion, four hundred fourteen billion, forty million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 19 38 76 619 1238 2476 3739 7478 8039 11761 14956 16078 23522 32156 47044 71041 142082 152741 284164 305482 610964 2314441 4628882 4976141 9257764 9952282 19904564 30057821 43974379 60115642 87948758 94546679 120231284 175897516 189093358 378186716 571098599 1142197198 2284394396 18605791199 37211582398 74423164796 353510032781 707020065562 1414040131124