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114012582480 = 24335373141511
BaseRepresentation
bin110101000101110101…
…1011111001001010000
3101220021201210021202000
41222023223133021100
53331444210114410
6124213205154000
711144223650436
oct1521353371120
9356251707660
10114012582480
1144397148785
121a11a6bb900
13a99c905774
145738090d56
152e74505dc0
hex1a8badf250

114012582480 has 160 divisors (see below), whose sum is σ = 393765630720. Its totient is φ = 30321630720.

The previous prime is 114012582479. The next prime is 114012582493. The reversal of 114012582480 is 84285210411.

114012582480 is a `hidden beast` number, since 1 + 1 + 401 + 2 + 5 + 8 + 248 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 734925 + ... + 876435.

It is an arithmetic number, because the mean of its divisors is an integer number (2461035192).

Almost surely, 2114012582480 is an apocalyptic number.

114012582480 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 114012582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196882815360).

114012582480 is an abundant number, since it is smaller than the sum of its proper divisors (279753048240).

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

114012582480 is a wasteful number, since it uses less digits than its factorization.

114012582480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141906 (or 141894 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 114012582480 its reverse (84285210411), we get a palindrome (198297792891).

The spelling of 114012582480 in words is "one hundred fourteen billion, twelve million, five hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 373 432 540 720 746 1080 1119 1492 1865 2160 2238 2984 3357 3730 4476 5595 5968 6714 7460 8952 10071 11190 13428 14920 16785 17904 20142 22380 26856 29840 33570 40284 44760 50355 53712 67140 80568 89520 100710 134280 141511 161136 201420 268560 283022 402840 424533 566044 707555 805680 849066 1132088 1273599 1415110 1698132 2122665 2264176 2547198 2830220 3396264 3820797 4245330 5094396 5660440 6367995 6792528 7641594 8490660 10188792 11320880 12735990 15283188 16981320 19103985 20377584 25471980 30566376 33962640 38207970 50943960 52783603 61132752 76415940 101887920 105567206 152831880 158350809 211134412 263918015 305663760 316701618 422268824 475052427 527836030 633403236 791754045 844537648 950104854 1055672060 1266806472 1425157281 1583508090 1900209708 2111344120 2375262135 2533612944 2850314562 3167016180 3800419416 4222688240 4750524270 5700629124 6334032360 7125786405 7600838832 9501048540 11401258248 12668064720 14251572810 19002097080 22802516496 28503145620 38004194160 57006291240 114012582480