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138463881480 = 233252316722691
BaseRepresentation
bin1000000011110100010…
…1110010100100001000
3111020101210012222021200
42000331011302210020
54232033223201410
6143335345304200
713001156400441
oct2007505624410
9436353188250
10138463881480
11537a4284601
1222a03335060
1310098564b22
1469b76062c8
153905e403c0
hex203d172908

138463881480 has 96 divisors (see below), whose sum is σ = 469573191360. Its totient is φ = 35318321280.

The previous prime is 138463881463. The next prime is 138463881529. The reversal of 138463881480 is 84188364831.

138463881480 is a `hidden beast` number, since 1 + 3 + 84 + 6 + 3 + 8 + 81 + 480 = 666.

138463881480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8353066 + ... + 8369625.

It is an arithmetic number, because the mean of its divisors is an integer number (4891387410).

Almost surely, 2138463881480 is an apocalyptic number.

138463881480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138463881480 is an abundant number, since it is smaller than the sum of its proper divisors (331109309880).

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

138463881480 is a wasteful number, since it uses less digits than its factorization.

138463881480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722731 (or 16722724 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 138463881480 in words is "one hundred thirty-eight billion, four hundred sixty-three million, eight hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 16722691 33445382 50168073 66890764 83613455 100336146 133781528 150504219 167226910 200672292 250840365 301008438 334453820 384621893 401344584 501680730 602016876 668907640 752521095 769243786 1003361460 1153865679 1204033752 1505042190 1538487572 1923109465 2006722920 2307731358 3010084380 3076975144 3461597037 3846218930 4615462716 5769328395 6020168760 6923194074 7692437860 9230925432 11538656790 13846388148 15384875720 17307985185 23077313580 27692776296 34615970370 46154627160 69231940740 138463881480