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45021353554144 = 2511235560937939
BaseRepresentation
bin10100011110010010110011…
…10010010011000011100000
312220101222222112112002012101
422033021121302103003200
521400112213002213034
6235430305125340144
712324454053032602
oct1217113162230340
9186358875462171
1045021353554144
11133884a3416940
125071534267654
131c176595a2666
14b1908bc09172
15531196e27514
hex28f259c930e0

45021353554144 has 48 divisors (see below), whose sum is σ = 100897657983360. Its totient is φ = 19574501541760.

The previous prime is 45021353554087. The next prime is 45021353554147. The reversal of 45021353554144 is 44145535312054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 45021353554094 and 45021353554103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45021353554147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2780460874 + ... + 2780477065.

It is an arithmetic number, because the mean of its divisors is an integer number (2102034541320).

Almost surely, 245021353554144 is an apocalyptic number.

45021353554144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45021353554144 is an abundant number, since it is smaller than the sum of its proper divisors (55876304429216).

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

45021353554144 is a wasteful number, since it uses less digits than its factorization.

45021353554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560937983 (or 5560937975 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 46.

Adding to 45021353554144 its reverse (44145535312054), we get a palindrome (89166888866198).

The spelling of 45021353554144 in words is "forty-five trillion, twenty-one billion, three hundred fifty-three million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 5560937939 11121875878 22243751756 44487503512 61170317329 88975007024 122340634658 127901572597 177950014048 244681269316 255803145194 489362538632 511606290388 978725077264 1023212580776 1406917298567 1957450154528 2046425161552 2813834597134 4092850323104 5627669194268 11255338388536 22510676777072 45021353554144