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1415044013020 = 2251122394127017
BaseRepresentation
bin10100100101110111001…
…100100001101111011100
312000021110211221211200021
4110211313030201233130
5141141002231404040
63002021240041524
7204143052440221
oct24456714415734
95007424854607
101415044013020
114a6131500a00
121aa2b34632a4
13a35905c3221
144c6ba609948
1526c1dc6a24a
hex14977321bdc

1415044013020 has 144 divisors (see below), whose sum is σ = 3412056965184. Its totient is φ = 491647974400.

The previous prime is 1415044012999. The next prime is 1415044013041. The reversal of 1415044013020 is 203104405141.

It is an interprime number because it is at equal distance from previous prime (1415044012999) and next prime (1415044013041).

It is a congruent number.

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, 52362552 + ... + 52389568.

It is an arithmetic number, because the mean of its divisors is an integer number (23694840036).

Almost surely, 21415044013020 is an apocalyptic number.

1415044013020 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 1415044013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706028482592).

1415044013020 is an abundant number, since it is smaller than the sum of its proper divisors (1997012952164).

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

1415044013020 is a wasteful number, since it uses less digits than its factorization.

1415044013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28012 (or 27999 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1415044013020 its reverse (203104405141), we get a palindrome (1618148418161).

The spelling of 1415044013020 in words is "one trillion, four hundred fifteen billion, forty-four million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 941 1012 1210 1265 1882 2420 2530 2783 3764 4705 5060 5566 9410 10351 11132 13915 18820 20702 21643 27017 27830 41404 43286 51755 54034 55660 86572 103510 108068 108215 113861 135085 207020 216430 227722 238073 270170 297187 432860 455444 476146 540340 569305 594374 621391 952292 1138610 1188748 1190365 1242782 1485935 2277220 2380730 2485564 2618803 2971870 3106955 3269057 4761460 5237606 5943740 6213910 6538114 6835301 10475212 12427820 13076228 13094015 13670602 16345285 25422997 26188030 27341204 32690570 34176505 50845994 52376060 65381140 68353010 75188311 101691988 127114985 136706020 150376622 254229970 279652967 300753244 375941555 508459940 559305934 584728931 751883110 1118611868 1169457862 1398264835 1503766220 2338915724 2796529670 2923644655 3076182637 5593059340 5847289310 6152365274 6432018241 11694578620 12304730548 12864036482 15380913185 25728072964 30761826370 32160091205 61523652740 64320182410 70752200651 128640364820 141504401302 283008802604 353761003255 707522006510 1415044013020