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1412302100440 = 235711461994663
BaseRepresentation
bin10100100011010011110…
…000111101011111011000
312000000101202120020201111
4110203103300331133120
5141114343314203230
63000445211230104
7204015106532050
oct24432360753730
95000352506644
101412302100440
114a4a54798450
121a9869148334
13a324452354a
144c4da3c6560
1526b0d1a692a
hex148d3c3d7d8

1412302100440 has 128 divisors (see below), whose sum is σ = 3970380395520. Its totient is φ = 439242739200.

The previous prime is 1412302100411. The next prime is 1412302100449. The reversal of 1412302100440 is 440012032141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412302100449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922549 + ... + 1917211.

It is an arithmetic number, because the mean of its divisors is an integer number (31018596840).

Almost surely, 21412302100440 is an apocalyptic number.

1412302100440 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 1412302100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985190197760).

1412302100440 is an abundant number, since it is smaller than the sum of its proper divisors (2558078295080).

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

1412302100440 is a wasteful number, since it uses less digits than its factorization.

1412302100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995153 (or 995149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1412302100440 its reverse (440012032141), we get a palindrome (1852314132581).

The spelling of 1412302100440 in words is "one trillion, four hundred twelve billion, three hundred two million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 461 616 770 922 1540 1844 2305 3080 3227 3688 4610 5071 6454 9220 10142 12908 16135 18440 20284 25355 25816 32270 35497 40568 50710 64540 70994 101420 129080 141988 177485 202840 283976 354970 709940 994663 1419880 1989326 3978652 4973315 6962641 7957304 9946630 10941293 13925282 19893260 21882586 27850564 34813205 39786520 43765172 54706465 55701128 69626410 76589051 87530344 109412930 139252820 153178102 218825860 278505640 306356204 382945255 437651720 458539643 612712408 765890510 917079286 1531781020 1834158572 2292698215 3063562040 3209777501 3668317144 4585396430 5043936073 6419555002 9170792860 10087872146 12839110004 16048887505 18341585720 20175744292 25219680365 25678220008 32097775010 35307552511 40351488584 50439360730 64195550020 70615105022 100878721460 128391100040 141230210044 176537762555 201757442920 282460420088 353075525110 706151050220 1412302100440