Search a number
-
+
140012240402400 = 2535258338433501
BaseRepresentation
bin11111110101011100100011…
…110110100111011111100000
3200100202001001202201102001020
4133311130203312213133200
5121322430032020334100
61213440422453205440
741330356561012332
oct3765344366473740
9610661052642036
10140012240402400
1140680948660793
1213853388030880
136018136607262
1426808b2c07452
15112c08dde75a0
hex7f5723da77e0

140012240402400 has 72 divisors (see below), whose sum is σ = 455739842517624. Its totient is φ = 37336597440000.

The previous prime is 140012240402383. The next prime is 140012240402417. The reversal of 140012240402400 is 4204042210041.

It is an interprime number because it is at equal distance from previous prime (140012240402383) and next prime (140012240402417).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 29169214351 + ... + 29169219150.

It is an arithmetic number, because the mean of its divisors is an integer number (6329720034967).

Almost surely, 2140012240402400 is an apocalyptic number.

140012240402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012240402400 is an abundant number, since it is smaller than the sum of its proper divisors (315727602115224).

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

140012240402400 is a wasteful number, since it uses less digits than its factorization.

140012240402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58338433524 (or 58338433511 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 140012240402400 its reverse (4204042210041), we get a palindrome (144216282612441).

The spelling of 140012240402400 in words is "one hundred forty trillion, twelve billion, two hundred forty million, four hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 58338433501 116676867002 175015300503 233353734004 291692167505 350030601006 466707468008 583384335010 700061202012 875076502515 933414936016 1166768670020 1400122404024 1458460837525 1750153005030 1866829872032 2333537340040 2800244808048 2916921675050 3500306010060 4375382512575 4667074680080 5600489616096 5833843350100 7000612020120 8750765025150 9334149360160 11667686700200 14001224040240 17501530050300 23335373400400 28002448080480 35003060100600 46670746800800 70006120201200 140012240402400