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138063402960 = 24357312650987
BaseRepresentation
bin1000000010010100111…
…0000101011111010000
3111012100212122120000220
42000211032011133100
54230223212343320
6143231521513040
712655224363540
oct2004516053720
9435325576026
10138063402960
115360921211a
12229111a2780
13100335b67a2
14697a359320
1538d0bd4e40
hex20253857d0

138063402960 has 160 divisors (see below), whose sum is σ = 504917778432. Its totient is φ = 30539358720.

The previous prime is 138063402949. The next prime is 138063403001. The reversal of 138063402960 is 69204360831.

138063402960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273414 + ... + 1377573.

Almost surely, 2138063402960 is an apocalyptic number.

138063402960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138063402960 is an abundant number, since it is smaller than the sum of its proper divisors (366854375472).

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

138063402960 is a wasteful number, since it uses less digits than its factorization.

138063402960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651041 (or 2651035 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 138063402960 in words is "one hundred thirty-eight billion, sixty-three million, four hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 2650987 5301974 7952961 10603948 13254935 15905922 18556909 21207896 26509870 31811844 37113818 39764805 42415792 53019740 55670727 63623688 74227636 79529610 82180597 92784545 106039480 111341454 127247376 148455272 159059220 164361194 185569090 212078960 222682908 246541791 278353635 296910544 318118440 328722388 371138180 410902985 445365816 493083582 556707270 575264179 636236880 657444776 742276360 821805970 890731632 986167164 1113414540 1150528358 1232708955 1314889552 1484552720 1643611940 1725792537 1972334328 2226829080 2301056716 2465417910 2876320895 3287223880 3451585074 3944668656 4453658160 4602113432 4930835820 5752641790 6574447760 6903170148 8628962685 9204226864 9861671640 11505283580 13806340296 17257925370 19723343280 23010567160 27612680592 34515850740 46021134320 69031701480 138063402960