Search a number
-
+
14237229150648 = 2332724035495791
BaseRepresentation
bin1100111100101101110011…
…1111000111000110111000
31212102001202222102110000100
43033023130333013012320
53331230321130310043
650140254235035400
72666414545020300
oct317133477070670
955361688373010
1014237229150648
114599a7a767789
12171b32b29bb60
137c374626393a
1437312ab24600
1519a52297bcd3
hexcf2dcfc71b8

14237229150648 has 72 divisors (see below), whose sum is σ = 44854535728080. Its totient is φ = 4067779756320.

The previous prime is 14237229150623. The next prime is 14237229150653. The reversal of 14237229150648 is 84605192273241.

It is a happy number.

14237229150648 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 7 + 2 + 2 + 91 + 506 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×142372291506482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14237229150594 and 14237229150603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2017744368 + ... + 2017751423.

It is an arithmetic number, because the mean of its divisors is an integer number (622979662890).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14237229150648 = 28474458301296, but 3⋅14237229150648 = 42711687451944 is not.

Almost surely, 214237229150648 is an apocalyptic number.

14237229150648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14237229150648 is an abundant number, since it is smaller than the sum of its proper divisors (30617306577432).

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

14237229150648 is a wasteful number, since it uses less digits than its factorization.

14237229150648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035495817 (or 4035495803 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 14237229150648 in words is "fourteen trillion, two hundred thirty-seven billion, two hundred twenty-nine million, one hundred fifty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 4035495791 8070991582 12106487373 16141983164 24212974746 28248470537 32283966328 36319462119 48425949492 56496941074 72638924238 84745411611 96851898984 112993882148 145277848476 169490823222 197739293759 225987764296 254236234833 290555696952 338981646444 395478587518 508472469666 593217881277 677963292888 790957175036 1016944939332 1186435762554 1581914350072 1779653643831 2033889878664 2372871525108 3559307287662 4745743050216 7118614575324 14237229150648