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2434040101040 = 245235387245563
BaseRepresentation
bin100011011010111000000…
…110000111100010110000
322121200200102212112001212
4203122320012013202300
5304334403231213130
65102103234415252
7340565532330122
oct43327006074260
98550612775055
102434040101040
118592a81aa999
12333897131528
131486b5289a22
1485b4588d212
15434ad046e95
hex236b81878b0

2434040101040 has 80 divisors (see below), whose sum is σ = 5906313186048. Its totient is φ = 931108240128.

The previous prime is 2434040101027. The next prime is 2434040101069. The reversal of 2434040101040 is 401010404342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2434040100997 and 2434040101015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9789299 + ... + 10034861.

Almost surely, 22434040101040 is an apocalyptic number.

2434040101040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434040101040 is an abundant number, since it is smaller than the sum of its proper divisors (3472273085008).

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

2434040101040 is a wasteful number, since it uses less digits than its factorization.

2434040101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250986 (or 250980 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2434040101040 its reverse (401010404342), we get a palindrome (2835050505382).

The spelling of 2434040101040 in words is "two trillion, four hundred thirty-four billion, forty million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 5387 10774 21548 26935 43096 53870 86192 107740 123901 215480 245563 247802 430960 491126 495604 619505 982252 991208 1227815 1239010 1964504 1982416 2455630 2478020 3929008 4911260 4956040 5647949 9822520 9912080 11295898 19645040 22591796 28239745 45183592 56479490 90367184 112958980 225917960 451835920 1322847881 2645695762 5291391524 6614239405 10582783048 13228478810 21165566096 26456957620 30425501263 52913915240 60851002526 105827830480 121702005052 152127506315 243404010104 304255012630 486808020208 608510025260 1217020050520 2434040101040