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1044133041020 = 2251923353933757
BaseRepresentation
bin11110011000110110010…
…11011101001101111100
310200211002102112012101212
433030123023131031330
5114101341024303040
62115400150423552
7135302406261056
oct17143313351574
93624072465355
101044133041020
113728a5976913
1214a43a061bb8
13775cc6b14b4
14387718ba8d6
151c261002d65
hexf31b2dd37c

1044133041020 has 96 divisors (see below), whose sum is σ = 2409186931200. Its totient is φ = 378350210304.

The previous prime is 1044133040987. The next prime is 1044133041047. The reversal of 1044133041020 is 201403314401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30913982 + ... + 30947738.

It is an arithmetic number, because the mean of its divisors is an integer number (25095697200).

Almost surely, 21044133041020 is an apocalyptic number.

1044133041020 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 1044133041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204593465600).

1044133041020 is an abundant number, since it is smaller than the sum of its proper divisors (1365053890180).

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

1044133041020 is a wasteful number, since it uses less digits than its factorization.

1044133041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37347 (or 37345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1044133041020 its reverse (201403314401), we get a palindrome (1245536355421).

The spelling of 1044133041020 in words is "one trillion, forty-four billion, one hundred thirty-three million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 2185 3539 4370 7078 8740 14156 17695 33757 35390 67241 67514 70780 81397 134482 135028 162794 168785 268964 325588 336205 337570 406985 641383 672410 675140 776411 813970 1282766 1344820 1546543 1552822 1627940 2565532 3093086 3105644 3206915 3882055 6186172 6413830 7732715 7764110 12827660 14751809 15465430 15528220 29503618 30930860 59007236 73759045 119466023 147518090 238932046 295036180 477864092 597330115 1194660230 2269854437 2389320460 2747718529 4539708874 5495437058 9079417748 10990874116 11349272185 13738592645 22698544370 27477185290 45397088740 52206652051 54954370580 104413304102 208826608204 261033260255 522066520510 1044133041020