Search a number
-
+
2141235242664 = 2337105667120619
BaseRepresentation
bin11111001010001011100…
…100001110011010101000
321120200220100212120002120
4133022023210032122220
5240040222210231124
64315400410231240
7310461543154650
oct37121344163250
97520810776076
102141235242664
11756102522031
122a6b9b425520
13126bc1009b8b
14758ca183360
153aa7239bd79
hex1f28b90e6a8

2141235242664 has 64 divisors (see below), whose sum is σ = 6117923596800. Its totient is φ = 611770636224.

The previous prime is 2141235242659. The next prime is 2141235242681. The reversal of 2141235242664 is 4662425321412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17691747 + ... + 17812365.

It is an arithmetic number, because the mean of its divisors is an integer number (95592556200).

Almost surely, 22141235242664 is an apocalyptic number.

2141235242664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141235242664 is an abundant number, since it is smaller than the sum of its proper divisors (3976688354136).

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

2141235242664 is a wasteful number, since it uses less digits than its factorization.

2141235242664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226302 (or 226298 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 2141235242664 in words is "two trillion, one hundred forty-one billion, two hundred thirty-five million, two hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 105667 120619 211334 241238 317001 361857 422668 482476 634002 723714 739669 844333 845336 964952 1268004 1447428 1479338 1688666 2219007 2532999 2536008 2894856 2958676 3377332 4438014 5065998 5917352 6754664 8876028 10131996 17752056 20263992 12745447873 25490895746 38236343619 50981791492 76472687238 89218135111 101963582984 152945374476 178436270222 267654405333 305890748952 356872540444 535308810666 713745080888 1070617621332 2141235242664