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1490400011320 = 2351131127860369
BaseRepresentation
bin10101101100000010110…
…000110110010000111000
312021110222112120011222021
4111230002300312100320
5143404314400330240
63100402540404224
7212451334033243
oct25540260662070
95243875504867
101490400011320
11525090a51850
12200a23b46674
13aa70c57292c
14521c86b225a
1528b7e6a354a
hex15b02c36438

1490400011320 has 128 divisors (see below), whose sum is σ = 3806001561600. Its totient is φ = 520350566400.

The previous prime is 1490400011299. The next prime is 1490400011323. The reversal of 1490400011320 is 231100040941.

It is a happy number.

It is a super-2 number, since 2×14904000113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490400011323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1302096 + ... + 2162464.

It is an arithmetic number, because the mean of its divisors is an integer number (29734387200).

Almost surely, 21490400011320 is an apocalyptic number.

1490400011320 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 1490400011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903000780800).

1490400011320 is an abundant number, since it is smaller than the sum of its proper divisors (2315601550280).

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

1490400011320 is a wasteful number, since it uses less digits than its factorization.

1490400011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860549 (or 860545 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 1490400011320 in words is "one trillion, four hundred ninety billion, four hundred million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 127 155 220 248 254 310 341 440 508 620 635 682 1016 1240 1270 1364 1397 1705 2540 2728 2794 3410 3937 5080 5588 6820 6985 7874 11176 13640 13970 15748 19685 27940 31496 39370 43307 55880 78740 86614 157480 173228 216535 346456 433070 860369 866140 1720738 1732280 3441476 4301845 6882952 8603690 9464059 17207380 18928118 26671439 34414760 37856236 47320295 53342878 75712472 94640590 106685756 109266863 133357195 189281180 213371512 218533726 266714390 293385829 378562360 437067452 533428780 546334315 586771658 874134904 1066857560 1092668630 1173543316 1201935493 1466929145 2185337260 2347086632 2403870986 2933858290 3387272753 4370674520 4807741972 5867716580 6009677465 6774545506 9615483944 11735433160 12019354930 13549091012 16936363765 24038709860 27098182024 33872727530 37260000283 48077419720 67745455060 74520000566 135490910120 149040001132 186300001415 298080002264 372600002830 745200005660 1490400011320