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1413201421044 = 22357211398297
BaseRepresentation
bin10100100100001001010…
…111100110001011110100
312000002201102210110200000
4110210021113212023310
5141123214030433134
63001114334551300
7204046306611030
oct24441127461364
95002642713600
101413201421044
114a53763a6316
121a9a7a368530
13a335893c90a
144c583a071c0
1526b620ebe99
hex149095e62f4

1413201421044 has 144 divisors (see below), whose sum is σ = 4235835397248. Its totient is φ = 403576639488.

The previous prime is 1413201421033. The next prime is 1413201421091. The reversal of 1413201421044 is 4401241023141.

1413201421044 is a `hidden beast` number, since 1 + 413 + 2 + 0 + 142 + 104 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1413201420999 and 1413201421017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14327704 + ... + 14426000.

It is an arithmetic number, because the mean of its divisors is an integer number (29415523592).

Almost surely, 21413201421044 is an apocalyptic number.

1413201421044 is a gapful number since it is divisible by the number (14) 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 1413201421044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117917698624).

1413201421044 is an abundant number, since it is smaller than the sum of its proper divisors (2822633976204).

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

1413201421044 is a wasteful number, since it uses less digits than its factorization.

1413201421044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100436 (or 100422 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1413201421044 its reverse (4401241023141), we get a palindrome (5814442444185).

The spelling of 1413201421044 in words is "one trillion, four hundred thirteen billion, two hundred one million, four hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2113 2268 3402 4226 6339 6804 8452 12678 14791 19017 25356 29582 38034 44373 57051 59164 76068 88746 98297 114102 133119 171153 177492 196594 228204 266238 294891 342306 393188 399357 513459 532476 589782 684612 688079 798714 884673 1026918 1179564 1198071 1376158 1597428 1769346 2053836 2064237 2396142 2654019 2752316 3538692 3594213 4128474 4792284 5308038 6192711 7188426 7962057 8256948 10616076 12385422 14376852 15924114 18578133 23886171 24770844 31848228 37156266 47772342 55734399 74312532 95544684 111468798 167203197 207701561 222937596 334406394 415403122 623104683 668812788 830806244 1246209366 1453910927 1869314049 2492418732 2907821854 3738628098 4361732781 5607942147 5815643708 7477256196 8723465562 11215884294 13085198343 16823826441 17446931124 22431768588 26170396686 33647652882 39255595029 50471479323 52340793372 67295305764 78511190058 100942958646 117766785087 157022380116 201885917292 235533570174 353300355261 471067140348 706600710522 1413201421044