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15234040120 = 23513971492027
BaseRepresentation
bin11100011000000010…
…10000000100111000
31110022200112102101011
432030001100010320
5222144403240440
610555354203304
71046341130065
oct161401200470
943280472334
1015234040120
116508244902
122b51a23534
13158a191230
14a47347c6c
155e26449ea
hex38c050138

15234040120 has 128 divisors (see below), whose sum is σ = 37562616000. Its totient is φ = 5526798336.

The previous prime is 15234040103. The next prime is 15234040139. The reversal of 15234040120 is 2104043251.

It is a super-2 number, since 2×152340401202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15234040091 and 15234040100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7514547 + ... + 7516573.

Almost surely, 215234040120 is an apocalyptic number.

15234040120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15234040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781308000).

15234040120 is an abundant number, since it is smaller than the sum of its proper divisors (22328575880).

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

15234040120 is a wasteful number, since it uses less digits than its factorization.

15234040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 15234040120 its reverse (2104043251), we get a palindrome (17338083371).

The spelling of 15234040120 in words is "fifteen billion, two hundred thirty-four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 97 104 130 149 194 260 298 388 485 520 596 745 776 970 1192 1261 1490 1937 1940 2027 2522 2980 3874 3880 4054 5044 5960 6305 7748 8108 9685 10088 10135 12610 14453 15496 16216 19370 20270 25220 26351 28906 38740 40540 50440 52702 57812 72265 77480 81080 105404 115624 131755 144530 187889 196619 210808 263510 289060 302023 375778 393238 527020 578120 604046 751556 786476 939445 983095 1054040 1208092 1503112 1510115 1572952 1878890 1966190 2416184 2556047 3020230 3757780 3926299 3932380 5112094 6040460 7515560 7852598 7864760 10224188 12080920 12780235 15705196 19631495 20448376 25560470 29296231 31410392 39262990 51120940 58592462 78525980 102241880 117184924 146481155 157051960 234369848 292962310 380851003 585924620 761702006 1171849240 1523404012 1904255015 3046808024 3808510030 7617020060 15234040120