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140012241010400 = 25521115910481933
BaseRepresentation
bin11111110101011100100011…
…111000111011111011100000
3200100202001001210212022001202
4133311130203320323323200
5121322430032144313100
61213440422514220332
741330356566124043
oct3765344370737340
9610661053768052
10140012241010400
1140680948a36570
12138533882846a8
13601813678ac15
1426808b2d24c5a
15112c08deb77d5
hex7f5723e3bee0

140012241010400 has 72 divisors (see below), whose sum is σ = 372878054605224. Its totient is φ = 50913542182400.

The previous prime is 140012241010381. The next prime is 140012241010417. The reversal of 140012241010400 is 4010142210041.

It is a super-2 number, since 2×1400122410104002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7955232167 + ... + 7955249766.

It is an arithmetic number, because the mean of its divisors is an integer number (5178861869517).

Almost surely, 2140012241010400 is an apocalyptic number.

140012241010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012241010400 is an abundant number, since it is smaller than the sum of its proper divisors (232865813594824).

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

140012241010400 is a wasteful number, since it uses less digits than its factorization.

140012241010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15910481964 (or 15910481951 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140012241010400 its reverse (4010142210041), we get a palindrome (144022383220441).

The spelling of 140012241010400 in words is "one hundred forty trillion, twelve billion, two hundred forty-one million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 15910481933 31820963866 63641927732 79552409665 127283855464 159104819330 175015301263 254567710928 318209638660 350030602526 397762048325 509135421856 636419277320 700061205052 795524096650 875076506315 1272838554640 1400122410104 1591048193300 1750153012630 2545677109280 2800244820208 3182096386600 3500306025260 4375382531575 5600489640416 6364192773200 7000612050520 8750765063150 12728385546400 14001224101040 17501530126300 28002448202080 35003060252600 70006120505200 140012241010400