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45041424301300 = 225274191013151597
BaseRepresentation
bin10100011110111000001100…
…00110000111110011110100
312220110220210022011200022011
422033130012012013303310
521400424314110120200
6235443424503214004
712326064324414460
oct1217340606076364
9186426708150264
1045041424301300
1113395a62877289
1250753b5a47304
131c1950781abcb
14b1a0336694a0
1553196deba5ba
hex28f706187cf4

45041424301300 has 144 divisors (see below), whose sum is σ = 112080597632640. Its totient is φ = 15390608048640.

The previous prime is 45041424301297. The next prime is 45041424301339. The reversal of 45041424301300 is 310342414054.

45041424301300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 297037102 + ... + 297188698.

It is an arithmetic number, because the mean of its divisors is an integer number (778337483560).

Almost surely, 245041424301300 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 45041424301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56040298816320).

45041424301300 is an abundant number, since it is smaller than the sum of its proper divisors (67039173331340).

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

45041424301300 is a wasteful number, since it uses less digits than its factorization.

45041424301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153050 (or 153043 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 45041424301300 its reverse (310342414054), we get a palindrome (45351766715354).

The spelling of 45041424301300 in words is "forty-five trillion, forty-one billion, four hundred twenty-four million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 419 700 838 1013 1676 2026 2095 2933 4052 4190 5065 5866 7091 8380 10130 10475 11732 14182 14665 20260 20950 25325 28364 29330 35455 41900 50650 58660 70910 73325 101300 141820 146650 151597 177275 293300 303194 354550 424447 606388 709100 757985 848894 1061179 1515970 1697788 2122235 2122358 2971129 3031940 3789925 4244470 4244716 5305895 5942258 7579850 8488940 10611175 10611790 11884516 14855645 15159700 21222350 21223580 26529475 29711290 42444700 53058950 59422580 63519143 74278225 106117900 127038286 148556450 153567761 254076572 297112900 307135522 317595715 444634001 614271044 635191430 767838805 889268002 1074974327 1270382860 1535677610 1587978575 1778536004 2149948654 2223170005 3071355220 3175957150 3839194025 4299897308 4446340010 5374871635 6351914300 7678388050 8892680020 10749743270 11115850025 15356776100 21499486540 22231700050 26874358175 44463400100 53748716350 64344891859 107497432700 128689783718 257379567436 321724459295 450414243013 643448918590 900828486026 1286897837180 1608622296475 1801656972052 2252071215065 3217244592950 4504142430130 6434489185900 9008284860260 11260356075325 22520712150650 45041424301300