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1045421040144 = 2431313745726759
BaseRepresentation
bin11110011011001111111…
…00110010001000010000
310200221102012010100001010
433031213330302020100
5114112010241241034
62120132041010520
7135346336136415
oct17154774621020
93627365110033
101045421040144
113733a6a176a8
1214a739483a40
13777764a6c60
143885499610c
151c2d91223e9
hexf367f32210

1045421040144 has 160 divisors (see below), whose sum is σ = 2936164573440. Its totient is φ = 318609432576.

The previous prime is 1045421040143. The next prime is 1045421040161. The reversal of 1045421040144 is 4410401245401.

1045421040144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1045421040143) 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, 39054637 + ... + 39081395.

It is an arithmetic number, because the mean of its divisors is an integer number (18351028584).

Almost surely, 21045421040144 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 1045421040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468082286720).

1045421040144 is an abundant number, since it is smaller than the sum of its proper divisors (1890743533296).

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

1045421040144 is a wasteful number, since it uses less digits than its factorization.

1045421040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27377 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1045421040144 its reverse (4410401245401), we get a palindrome (5455822285545).

The spelling of 1045421040144 in words is "one trillion, forty-five billion, four hundred twenty-one million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 137 156 208 274 312 411 457 548 624 822 914 1096 1371 1644 1781 1828 2192 2742 3288 3562 3656 5343 5484 5941 6576 7124 7312 10686 10968 11882 14248 17823 21372 21936 23764 26759 28496 35646 42744 47528 53518 62609 71292 80277 85488 95056 107036 125218 142584 160554 187827 214072 250436 285168 321108 347867 375654 428144 500872 642216 695734 751308 813917 1001744 1043601 1284432 1391468 1502616 1627834 2087202 2441751 2782936 3005232 3255668 3665983 4174404 4883502 5565872 6511336 7331966 8348808 9767004 10997949 12228863 13022672 14663932 16697616 19534008 21995898 24457726 29327864 36686589 39068016 43991796 47657779 48915452 58655728 73373178 87983592 95315558 97830904 142973337 146746356 158975219 175967184 190631116 195661808 285946674 293492712 317950438 381262232 476925657 571893348 586985424 635900876 762524464 953851314 1143786696 1271801752 1675354231 1907702628 2287573392 2543603504 3350708462 3815405256 5026062693 6701416924 7630810512 10052125386 13402833848 20104250772 21779605003 26805667696 40208501544 43559210006 65338815009 80417003088 87118420012 130677630018 174236840024 261355260036 348473680048 522710520072 1045421040144