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45413222231454 = 23711476833062117
BaseRepresentation
bin10100101001101100101101…
…11110101010110110011110
312221210110110112120110102120
422110312112332222312132
521423022234342401304
6240330313555203410
712364665660603510
oct1224662676526636
9187713415513376
1045413222231454
1113519704036140
1251154782a6566
131c455aa40b04c
14b300240bbbb0
1553b47ea350d9
hex294d96faad9e

45413222231454 has 128 divisors (see below), whose sum is σ = 115816847818752. Its totient is φ = 11527764378240.

The previous prime is 45413222231441. The next prime is 45413222231471.

45413222231454 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13299604 + ... + 16361720.

It is an arithmetic number, because the mean of its divisors is an integer number (904819123584).

Almost surely, 245413222231454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45413222231454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57908423909376).

45413222231454 is an abundant number, since it is smaller than the sum of its proper divisors (70403625587298).

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

45413222231454 is a wasteful number, since it uses less digits than its factorization.

45413222231454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062870.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4541322 and 2231454, that added together give a palindrome (6772776).

The spelling of 45413222231454 in words is "forty-five trillion, four hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 683 987 1034 1366 1551 1974 2049 3102 3619 4098 4781 7238 7513 9562 10857 14343 15026 21714 22539 28686 32101 45078 52591 64202 96303 105182 157773 192606 224707 315546 353111 449414 674121 706222 1059333 1348242 2118666 2471777 3062117 4943554 6124234 7415331 9186351 14830662 18372702 21434819 33683287 42869638 64304457 67366574 101049861 128608914 143919499 202099722 235783009 287838998 431758497 471566018 707349027 863516994 1007436493 1414698054 1583114489 2014872986 2091425911 3022309479 3166228978 4182851822 4749343467 6044618958 6274277733 9498686934 11081801423 12548555466 14639981377 22163602846 23005685021 29279962754 33245404269 43919944131 46011370042 66490808538 69017055063 87839888262 98297017817 138034110126 161039795147 196594035634 294891053451 322079590294 483119385441 589782106902 688079124719 966238770882 1081267195987 1376158249438 2064237374157 2162534391974 3243801587961 4128474748314 6487603175922 7568870371909 15137740743818 22706611115727 45413222231454