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15102312400240 = 2451364609224759
BaseRepresentation
bin1101101111000100011111…
…1101110100010101110000
31222110202201010011211021121
43123301013331310111300
53434414013433301430
652041523451232024
73116051244223552
oct333610775642560
958422633154247
1015102312400240
1148a29446a715a
12183ab19a48614
138571acb26590
143a2d54ab14d2
151b2ca48bea7a
hexdbc47f74570

15102312400240 has 80 divisors (see below), whose sum is σ = 37814620334400. Its totient is φ = 5576127307776.

The previous prime is 15102312400129. The next prime is 15102312400267. The reversal of 15102312400240 is 4200421320151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×151023124002403 (a number of 41 digits) contains 333 as substring.

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, 67080981 + ... + 67305739.

It is an arithmetic number, because the mean of its divisors is an integer number (472682754180).

Almost surely, 215102312400240 is an apocalyptic number.

15102312400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15102312400240 is an abundant number, since it is smaller than the sum of its proper divisors (22712307934160).

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

15102312400240 is a wasteful number, since it uses less digits than its factorization.

15102312400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289394 (or 289388 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 15102312400240 its reverse (4200421320151), we get a palindrome (19302733720391).

The spelling of 15102312400240 in words is "fifteen trillion, one hundred two billion, three hundred twelve million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 64609 129218 224759 258436 323045 449518 516872 646090 839917 899036 1033744 1123795 1292180 1679834 1798072 2247590 2584360 2921867 3359668 3596144 4199585 4495180 5168720 5843734 6719336 8399170 8990360 11687468 13438672 14609335 16798340 17980720 23374936 29218670 33596680 46749872 58437340 67193360 116874680 233749360 14521454231 29042908462 58085816924 72607271155 116171633848 145214542310 188778905003 232343267696 290429084620 377557810006 580858169240 755115620012 943894525015 1161716338480 1510231240024 1887789050030 3020462480048 3775578100060 7551156200120 15102312400240