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140414440232300 = 2252134211951131501
BaseRepresentation
bin11111111011010011001000…
…110101001101010101101100
3200102011111012202122201100112
4133323103020311031111230
5121401022233144413200
61214345300415315152
741401415504113523
oct3773231065152554
9612144182581315
10140414440232300
114081647aa06923
12138b9313b1bab8
1360470429176a0
1426961492014ba
15113777d9c7535
hex7fb4c8d4d56c

140414440232300 has 144 divisors (see below), whose sum is σ = 329088261836544. Its totient is φ = 51695280000000.

The previous prime is 140414440232299. The next prime is 140414440232369. The reversal of 140414440232300 is 3232044414041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067716550 + ... + 1067848050.

Almost surely, 2140414440232300 is an apocalyptic number.

140414440232300 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 140414440232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164544130918272).

140414440232300 is an abundant number, since it is smaller than the sum of its proper divisors (188673821604244).

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

140414440232300 is a wasteful number, since it uses less digits than its factorization.

140414440232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133900 (or 133893 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 140414440232300 its reverse (3232044414041), we get a palindrome (143646484646341).

The spelling of 140414440232300 in words is "one hundred forty trillion, four hundred fourteen billion, four hundred forty million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 421 650 842 1300 1684 1951 2105 3902 4210 5473 7804 8420 9755 10525 10946 19510 21050 21892 25363 27365 39020 42100 48775 50726 54730 97550 101452 109460 126815 131501 136825 195100 253630 263002 273650 507260 526004 547300 634075 657505 821371 1268150 1315010 1642742 1709513 2536300 2630020 3285484 3287525 3419026 4106855 6575050 6838052 8213710 8547565 10677823 13150100 16427420 17095130 20534275 21355646 34190260 41068550 42711292 42737825 53389115 55361921 82137100 85475650 106778230 110723842 170951300 213556460 221447684 256558451 266945575 276809605 513116902 533891150 553619210 719704973 1026233804 1067782300 1107238420 1282792255 1384048025 1439409946 2565584510 2768096050 2878819892 3335259863 3598524865 5131169020 5536192100 6413961275 6670519726 7197049730 12827922550 13341039452 14394099460 16676299315 17992624325 25655845100 33352598630 35985248650 66705197260 71970497300 83381496575 108011107871 166762993150 216022215742 333525986300 432044431484 540055539355 1080111078710 1404144402323 2160222157420 2700277696775 2808288804646 5400555393550 5616577609292 7020722011615 10801110787100 14041444023230 28082888046460 35103610058075 70207220116150 140414440232300