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2400023012442 = 23111163160719457
BaseRepresentation
bin100010111011001100100…
…001001110010001011010
322111102212201201101002120
4202323030201032101122
5303310221342344232
65034315542242110
7335252544002526
oct42731441162132
98442781641076
102400023012442
11845931470830
12329182a26336
1314542389c033
1484239b22d86
154266b91e92c
hex22ecc84e45a

2400023012442 has 64 divisors (see below), whose sum is σ = 5244447181824. Its totient is φ = 726164848640.

The previous prime is 2400023012419. The next prime is 2400023012479. The reversal of 2400023012442 is 2442103200042.

It is a super-2 number, since 2×24000230124422 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123340378 + ... + 123359834.

It is an arithmetic number, because the mean of its divisors is an integer number (81944487216).

Almost surely, 22400023012442 is an apocalyptic number.

2400023012442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400023012442 is an abundant number, since it is smaller than the sum of its proper divisors (2844424169382).

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

2400023012442 is a wasteful number, since it uses less digits than its factorization.

2400023012442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22243.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2400023012442 its reverse (2442103200042), we get a palindrome (4842126212484).

The spelling of 2400023012442 in words is "two trillion, four hundred billion, twenty-three million, twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 1163 1607 2326 3214 3489 4821 6978 9642 12793 17677 19457 25586 35354 38379 38914 53031 58371 76758 106062 116742 214027 428054 642081 1284162 1868941 3737882 5606823 11213646 20558351 22628491 31267399 41116702 45256982 61675053 62534798 67885473 93802197 123350106 135770946 187604394 248913401 343941389 497826802 687882778 746740203 1031824167 1493480406 2063648334 36363985037 72727970074 109091955111 218183910222 400003835407 800007670814 1200011506221 2400023012442