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2044210201434 = 233292087625477
BaseRepresentation
bin11101101111110100011…
…011000100001101011010
321020102110112010210002000
4131233310123010031122
5231443020302421214
64203032555021430
7300455302005432
oct35576433041532
97212415123060
102044210201434
11718a43403545
12290221a3a876
1311a9ca954a8b
1470d2428b2c2
153829440b809
hex1dbf46c435a

2044210201434 has 64 divisors (see below), whose sum is σ = 4701593030400. Its totient is φ = 657590439744.

The previous prime is 2044210201433. The next prime is 2044210201471. The reversal of 2044210201434 is 4341020124402.

2044210201434 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 21 + 0 + 201 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2044210201398 and 2044210201407.

It is not an unprimeable number, because it can be changed into a prime (2044210201433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2955504 + ... + 3580980.

It is an arithmetic number, because the mean of its divisors is an integer number (73462391100).

Almost surely, 22044210201434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044210201434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350796515200).

2044210201434 is an abundant number, since it is smaller than the sum of its proper divisors (2657382828966).

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

2044210201434 is a wasteful number, since it uses less digits than its factorization.

2044210201434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627604 (or 627598 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2044210201434 its reverse (4341020124402), we get a palindrome (6385230325836).

The spelling of 2044210201434 in words is "two trillion, forty-four billion, two hundred ten million, two hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2087 4174 6261 12522 18783 37566 56349 60523 112698 121046 181569 363138 544707 625477 1089414 1250954 1634121 1876431 3268242 3752862 5629293 11258586 16887879 18138833 33775758 36277666 54416499 108832998 163249497 326498994 489748491 979496982 1305370499 2610740998 3916111497 7832222994 11748334491 23496668982 35245003473 37855744471 70490006946 75711488942 113567233413 227134466826 340701700239 681403400478 1022105100717 2044210201434