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2331143342144 = 26374672107999
BaseRepresentation
bin100001111011000010111…
…110001000100001000000
322020212002101110120122122
4201323002332020201000
5301143140143422034
64542525032023412
7330263622320321
oct41730276104100
98225071416578
102331143342144
118196a5709a81
1231795b231b68
1313ba975a2886
1480b83c1c448
154098985d62e
hex21ec2f88840

2331143342144 has 56 divisors (see below), whose sum is σ = 4761061344000. Its totient is φ = 1131640782336.

The previous prime is 2331143342141. The next prime is 2331143342159. The reversal of 2331143342144 is 4412433411332.

It is not an unprimeable number, because it can be changed into a prime (2331143342141) 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, 51857 + ... + 2159855.

Almost surely, 22331143342144 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 2331143342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380530672000).

2331143342144 is an abundant number, since it is smaller than the sum of its proper divisors (2429918001856).

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

2331143342144 is a wasteful number, since it uses less digits than its factorization.

2331143342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108515 (or 2108505 counting only the distinct ones).

The product of its digits is 82944, while the sum is 35.

Adding to 2331143342144 its reverse (4412433411332), we get a palindrome (6743576753476).

The spelling of 2331143342144 in words is "two trillion, three hundred thirty-one billion, one hundred forty-three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 467 592 934 1184 1868 2368 3736 7472 14944 17279 29888 34558 69116 138232 276464 552928 1105856 2107999 4215998 8431996 16863992 33727984 67455968 77995963 134911936 155991926 311983852 623967704 984435533 1247935408 1968871066 2495870816 3937742132 4991741632 7875484264 15750968528 31501937056 36424114721 63003874112 72848229442 145696458884 291392917768 582785835536 1165571671072 2331143342144