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5141115432024 = 23311138571747951
BaseRepresentation
bin100101011010000001001…
…0110111110110001011000
3200012111010011200211020120
41022310002112332301120
51133213001022311044
614533443521553240
71040301430066635
oct112640226766130
920174104624216
105141115432024
1117023756a6250
126b04711a5820
132b3a60a7b0c0
1413ab8d1ad18c
158daeb326519
hex4ad025bec58

5141115432024 has 128 divisors (see below), whose sum is σ = 15117407585280. Its totient is φ = 1436395392000.

The previous prime is 5141115432001. The next prime is 5141115432029. The reversal of 5141115432024 is 4202345111415.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141115432029) 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, 2067249 + ... + 3815199.

It is an arithmetic number, because the mean of its divisors is an integer number (118104746760).

Almost surely, 25141115432024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141115432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558703792640).

5141115432024 is an abundant number, since it is smaller than the sum of its proper divisors (9976292153256).

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

5141115432024 is a wasteful number, since it uses less digits than its factorization.

5141115432024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748841 (or 1748837 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 5141115432024 in words is "five trillion, one hundred forty-one billion, one hundred fifteen million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 857 858 1144 1714 1716 2571 3428 3432 5142 6856 9427 10284 11141 18854 20568 22282 28281 33423 37708 44564 56562 66846 75416 89128 113124 122551 133692 226248 245102 267384 367653 490204 735306 980408 1470612 1747951 2941224 3495902 5243853 6991804 10487706 13983608 19227461 20975412 22723363 38454922 41950824 45446726 57682383 68170089 76909844 90893452 115364766 136340178 153819688 181786904 230729532 249956993 272680356 461459064 499913986 545360712 749870979 999827972 1497994007 1499741958 1999655944 2995988014 2999483916 4493982021 5991976028 5998967832 8987964042 11983952056 16477934077 17975928084 19473922091 32955868154 35951856168 38947844182 49433802231 58421766273 65911736308 77895688364 98867604462 116843532546 131823472616 155791376728 197735208924 214213143001 233687065092 395470417848 428426286002 467374130184 642639429003 856852572004 1285278858006 1713705144008 2570557716012 5141115432024