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1023414251420 = 225112929455219
BaseRepresentation
bin11101110010010000011…
…11100010111110011100
310121211121111110122012002
432321020033202332130
5113231423022021140
62102052223101432
7133640105414501
oct16711017427634
93554544418162
101023414251420
11365033734600
12146417441878
137567a118c92
1437767d694a8
151b94c102415
hexee483e2f9c

1023414251420 has 72 divisors (see below), whose sum is σ = 2364858795600. Its totient is φ = 371749227520.

The previous prime is 1023414251393. The next prime is 1023414251443. The reversal of 1023414251420 is 241524143201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020571 + ... + 2475789.

It is an arithmetic number, because the mean of its divisors is an integer number (32845261050).

Almost surely, 21023414251420 is an apocalyptic number.

1023414251420 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 1023414251420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182429397800).

1023414251420 is an abundant number, since it is smaller than the sum of its proper divisors (1341444544180).

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

1023414251420 is a wasteful number, since it uses less digits than its factorization.

1023414251420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456179 (or 456166 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1023414251420 its reverse (241524143201), we get a palindrome (1264938394621).

The spelling of 1023414251420 in words is "one trillion, twenty-three billion, four hundred fourteen million, two hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 929 1210 1858 2420 3716 4645 9290 10219 18580 20438 40876 51095 102190 112409 204380 224818 449636 455219 562045 910438 1124090 1820876 2248180 2276095 4552190 5007409 9104380 10014818 20029636 25037045 50074090 55081499 100148180 110162998 220325996 275407495 422898451 550814990 845796902 1101629980 1691593804 2114492255 4228984510 4651882961 8457969020 9303765922 18607531844 23259414805 46518829610 51170712571 93037659220 102341425142 204682850284 255853562855 511707125710 1023414251420