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15042514027024 = 2411218124872
BaseRepresentation
bin1101101011100101101110…
…1101001000001000010000
31222021001100122222201111001
43122321123231020020100
53432424032042331044
651554234024431344
73111533343360211
oct332713355101020
958231318881431
1015042514027024
11487a549013300
12182b40b618554
138516700a2ca3
143a00c0d05408
151b1454be82d4
hexdae5bb48210

15042514027024 has 135 divisors (see below), whose sum is σ = 32279521753773. Its totient is φ = 6785767612800.

The previous prime is 15042514026979. The next prime is 15042514027043. The reversal of 15042514027024 is 42072041524051.

The square root of 15042514027024 is 3878468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 165756465424 + 14876757561600 = 407132^2 + 3857040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30888118909 + ... + 30888119395.

Almost surely, 215042514027024 is an apocalyptic number.

15042514027024 is the 3878468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15042514027024

15042514027024 is an abundant number, since it is smaller than the sum of its proper divisors (17237007726749).

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

15042514027024 is an frugal number, since it uses more digits than its factorization.

15042514027024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 15042514027024 in words is "fifteen trillion, forty-two billion, five hundred fourteen million, twenty-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 181 242 362 484 487 724 968 974 1448 1936 1948 1991 2896 3896 3982 5357 7792 7964 10714 15928 21428 21901 31856 32761 42856 43802 58927 65522 85712 87604 88147 117854 131044 175208 176294 235708 237169 262088 350416 352588 360371 471416 474338 524176 705176 720742 942832 948676 969617 1410352 1441484 1897352 1939234 2608859 2882968 3794704 3878468 3964081 5217718 5765936 7756936 7928162 10435436 10665787 15513872 15856324 15954607 20870872 21331574 28697449 31712648 31909214 41741744 42663148 42927589 57394898 63425296 63818428 85326296 85855178 114789796 127636856 170652592 171710356 175500677 229579592 255273712 343420712 351001354 459159184 472203479 686841424 702002708 944406958 1404005416 1888813916 1930507447 2808010832 3777627832 3861014894 5194238269 7555255664 7722029788 7769893609 10388476538 15444059576 15539787218 20776953076 30888119152 31079574436 41553906152 62159148872 83107812304 85468829699 124318297744 170937659398 341875318796 683750637592 940157126689 1367501275184 1880314253378 3760628506756 7521257013512 15042514027024