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1114434042001 = 72937898292011
BaseRepresentation
bin10000001101111001011…
…100011111100010010001
310221112112211021001222221
4100031321130133202101
5121224330103321001
62211544113101041
7143341500026440
oct20157134374221
93845484231887
101114434042001
1139a6a0a66425
1215bb99857781
13811242b7427
143bd20486d57
151dec7c6e1a1
hex1037971f891

1114434042001 has 64 divisors (see below), whose sum is σ = 1370703168000. Its totient is φ = 885769758720.

The previous prime is 1114434041951. The next prime is 1114434042017. The reversal of 1114434042001 is 1002404344111.

It is not a de Polignac number, because 1114434042001 - 215 = 1114434009233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1114434042401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554168086 + ... + 554170096.

It is an arithmetic number, because the mean of its divisors is an integer number (21417237000).

Almost surely, 21114434042001 is an apocalyptic number.

It is an amenable number.

1114434042001 is a deficient number, since it is larger than the sum of its proper divisors (256269125999).

1114434042001 is a wasteful number, since it uses less digits than its factorization.

1114434042001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1114434042001 its reverse (1002404344111), we get a palindrome (2116838386112).

It can be divided in two parts, 111443 and 4042001, that added together give a square (4153444 = 20382).

The spelling of 1114434042001 in words is "one trillion, one hundred fourteen billion, four hundred thirty-four million, forty-two thousand, one".

Divisors: 1 7 29 37 89 203 259 623 829 1073 2011 2581 3293 5803 7511 14077 18067 23051 24041 30673 58319 73781 74407 95497 168287 178979 214711 408233 516467 520849 668479 889517 1252853 1667119 2139649 2157803 2729897 5190391 6226619 6622223 11669833 14977543 15104621 19109279 36332737 46355561 48346451 61683403 79167013 148373591 192044467 338425157 431783821 554169091 1038615137 1344311269 1788818687 4302834139 5489822867 12521730809 30119838973 38428760069 159204863143 1114434042001