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114004226411064 = 233211143944730317
BaseRepresentation
bin11001111010111110101101…
…011010110000101000111000
3112221122200211112222102002100
4121322332231122300220320
5104420321123430123224
61042244452452303400
733004351002444063
oct3172765532605070
9487580745872070
10114004226411064
1133363a147a7a70
1210952948911b60
134b7c724892132
142021b966cd8da
15d2a7a1767ac9
hex67afad6b0a38

114004226411064 has 48 divisors (see below), whose sum is σ = 336830668944120. Its totient is φ = 34546735275840.

The previous prime is 114004226411057. The next prime is 114004226411099. The reversal of 114004226411064 is 460114622400411.

114004226411064 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 4 + 2 + 2 + 641 + 1 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×1140042264110642 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71972364367 + ... + 71972365950.

Almost surely, 2114004226411064 is an apocalyptic number.

It is an amenable number.

114004226411064 is an abundant number, since it is smaller than the sum of its proper divisors (222826442533056).

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

114004226411064 is a wasteful number, since it uses less digits than its factorization.

114004226411064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143944730340 (or 143944730333 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 114004226411064 its reverse (460114622400411), we get a palindrome (574118848811475).

The spelling of 114004226411064 in words is "one hundred fourteen trillion, four billion, two hundred twenty-six million, four hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 143944730317 287889460634 431834190951 575778921268 863668381902 1151557842536 1295502572853 1583392033487 1727336763804 2591005145706 3166784066974 3454673527608 4750176100461 5182010291412 6333568133948 9500352200922 10364020582824 12667136267896 14250528301383 19000704401844 28501056602766 38001408803688 57002113205532 114004226411064