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140123044031200 = 25523893413131927
BaseRepresentation
bin11111110111000011110000…
…010000111010101011100000
3200101010122001212021221212221
4133313003300100322223200
5121331233443232444300
61214003345431400424
741341361441222026
oct3767036020725340
9611118055257787
10140123044031200
11407139383a002a
121387094bb23114
136025714457959
142685dc4a1c716
15112edc683231a
hex7f70f043aae0

140123044031200 has 144 divisors (see below), whose sum is σ = 343057837580640. Its totient is φ = 55888328529920.

The previous prime is 140123044031153. The next prime is 140123044031207. The reversal of 140123044031200 is 2130440321041.

It is a super-2 number, since 2×1401230440312002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140123044031207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1062059637 + ... + 1062191563.

It is an arithmetic number, because the mean of its divisors is an integer number (2382346094310).

Almost surely, 2140123044031200 is an apocalyptic number.

140123044031200 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 140123044031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171528918790320).

140123044031200 is an abundant number, since it is smaller than the sum of its proper divisors (202934793549440).

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

140123044031200 is a wasteful number, since it uses less digits than its factorization.

140123044031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135749 (or 135736 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 140123044031200 its reverse (2130440321041), we get a palindrome (142253484352241).

The spelling of 140123044031200 in words is "one hundred forty trillion, one hundred twenty-three billion, forty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 389 400 778 800 1556 1945 3112 3413 3890 6224 6826 7780 9725 12448 13652 15560 17065 19450 27304 31120 34130 38900 54608 62240 68260 77800 85325 109216 131927 136520 155600 170650 263854 273040 311200 341300 527708 546080 659635 682600 1055416 1319270 1327657 1365200 2110832 2638540 2655314 2730400 3298175 4221664 5277080 5310628 6596350 6638285 10554160 10621256 13192700 13276570 21108320 21242512 26385400 26553140 33191425 42485024 51319603 52770800 53106280 66382850 102639206 105541600 106212560 132765700 205278412 212425120 256598015 265531400 410556824 450266851 513196030 531062800 821113648 900533702 1026392060 1062125600 1282990075 1642227296 1801067404 2052784120 2251334255 2565980150 3602134808 4105568240 4502668510 5131960300 7204269616 8211136480 9005337020 10263920600 11256671275 14408539232 18010674040 20527841200 22513342550 36021348080 41055682400 45026685100 72042696160 90053370200 175153805039 180106740400 350307610078 360213480800 700615220156 875769025195 1401230440312 1751538050390 2802460880624 3503076100780 4378845125975 5604921761248 7006152201560 8757690251950 14012304403120 17515380503900 28024608806240 35030761007800 70061522015600 140123044031200