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13140312040350 = 232521124111014973
BaseRepresentation
bin1011111100110111011110…
…1000011010001110011110
31201112012102221100200220200
42333031313220122032132
53210242324340242400
643540324230324330
72524233116305335
oct277156750321636
951465387320820
1013140312040350
114206858641420
12158281bab96a6
137441840a2671
14335dccc7cd1c
1517bc22994b00
hexbf377a1a39e

13140312040350 has 144 divisors (see below), whose sum is σ = 38672868755664. Its totient is φ = 3172311936000.

The previous prime is 13140312040337. The next prime is 13140312040351. The reversal of 13140312040350 is 5304021304131.

It is a happy number.

13140312040350 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 1 + 204 + 0 + 3 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140312040351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4314537 + ... + 6700436.

It is an arithmetic number, because the mean of its divisors is an integer number (268561588581).

Almost surely, 213140312040350 is an apocalyptic number.

13140312040350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140312040350 is an abundant number, since it is smaller than the sum of its proper divisors (25532556715314).

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

13140312040350 is a wasteful number, since it uses less digits than its factorization.

13140312040350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015243 (or 11015235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13140312040350 its reverse (5304021304131), we get a palindrome (18444333344481).

The spelling of 13140312040350 in words is "thirteen trillion, one hundred forty billion, three hundred twelve million, forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 241 275 330 450 482 495 550 723 825 990 1205 1446 1650 2169 2410 2475 2651 3615 4338 4950 5302 6025 7230 7953 10845 12050 13255 15906 18075 21690 23859 26510 36150 39765 47718 54225 66275 79530 108450 119295 132550 198825 238590 397650 596475 1192950 11014973 22029946 33044919 55074865 66089838 99134757 110149730 121164703 165224595 198269514 242329406 275374325 330449190 363494109 495673785 550748650 605823515 726988218 826122975 991347570 1090482327 1211647030 1652245950 1817470545 2180964654 2478368925 2654608493 3029117575 3634941090 4956737850 5309216986 5452411635 6058235150 7963825479 9087352725 10904823270 13273042465 15927650958 18174705450 23891476437 26546084930 27262058175 29200693423 39819127395 47782952874 54524116350 58401386846 66365212325 79638254790 87602080269 119457382185 132730424650 146003467115 175204160538 199095636975 238914764370 262806240807 292006934230 398191273950 438010401345 525612481614 597286910925 730017335575 876020802690 1194573821850 1314031204035 1460034671150 2190052006725 2628062408070 4380104013450 6570156020175 13140312040350