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15044225134100 = 225237101113356261
BaseRepresentation
bin1101101011101100000110…
…1100011110111000010100
31222021012202220201222010012
43122323001230132320110
53432441033113242400
651555115511415352
73111623631502451
oct332730154367024
958235686658105
1015044225134100
114880246982388
12182b808684558
1385188373ac96
143a020427c828
151b1505042d35
hexdaec1b1ee14

15044225134100 has 144 divisors (see below), whose sum is σ = 34159999463856. Its totient is φ = 5745761280000.

The previous prime is 15044225134087. The next prime is 15044225134177. The reversal of 15044225134100 is 143152244051.

It can be written as a sum of positive squares in 24 ways, for example, as 9754390732804 + 5289834401296 = 3123202^2 + 2299964^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42049970 + ... + 42406230.

It is an arithmetic number, because the mean of its divisors is an integer number (237222218499).

Almost surely, 215044225134100 is an apocalyptic number.

15044225134100 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 15044225134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079999731928).

15044225134100 is an abundant number, since it is smaller than the sum of its proper divisors (19115774329756).

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

15044225134100 is a wasteful number, since it uses less digits than its factorization.

15044225134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356526 (or 356519 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 15044225134100 its reverse (143152244051), we get a palindrome (15187377378151).

The spelling of 15044225134100 in words is "fifteen trillion, forty-four billion, two hundred twenty-five million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 101 113 148 185 202 226 370 404 452 505 565 740 925 1010 1130 1850 2020 2260 2525 2825 3700 3737 4181 5050 5650 7474 8362 10100 11300 11413 14948 16724 18685 20905 22826 37370 41810 45652 57065 74740 83620 93425 104525 114130 186850 209050 228260 285325 356261 373700 418100 422281 570650 712522 844562 1141300 1425044 1689124 1781305 2111405 3562610 4222810 7125220 8445620 8906525 10557025 13181657 17813050 21114050 26363314 35626100 35982361 40257493 42228100 52726628 65908285 71964722 80514986 131816570 143929444 161029972 179911805 201287465 263633140 329541425 359823610 402574930 659082850 719647220 805149860 899559025 1006437325 1318165700 1331347357 1489527241 1799118050 2012874650 2662694714 2979054482 3598236100 4025749300 4066006793 5325389428 5958108964 6656736785 7447636205 8132013586 13313473570 14895272410 16264027172 20330033965 26626947140 29790544820 33283683925 37238181025 40660067930 66567367850 74476362050 81320135860 101650169825 133134735700 148952724100 150442251341 203300339650 300884502682 406600679300 601769005364 752211256705 1504422513410 3008845026820 3761056283525 7522112567050 15044225134100