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1042234403440 = 24523229849223
BaseRepresentation
bin11110010101010100000…
…00101110101001110000
310200122012002220102021111
433022222000232221300
5114033444001402230
62114443524203104
7135204353154406
oct17125200565160
93618162812244
101042234403440
1137201117134a
12149baa239494
1377389236ac9
1438631689476
151c19e4b392a
hexf2aa02ea70

1042234403440 has 120 divisors (see below), whose sum is σ = 2620484465760. Its totient is φ = 385016873472.

The previous prime is 1042234403429. The next prime is 1042234403449. The reversal of 1042234403440 is 443044322401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042234403449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802669 + ... + 1651891.

It is an arithmetic number, because the mean of its divisors is an integer number (21837370548).

Almost surely, 21042234403440 is an apocalyptic number.

1042234403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042234403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310242232880).

1042234403440 is an abundant number, since it is smaller than the sum of its proper divisors (1578250062320).

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

1042234403440 is a wasteful number, since it uses less digits than its factorization.

1042234403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849311 (or 849282 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 1042234403440 its reverse (443044322401), we get a palindrome (1485278725841).

The spelling of 1042234403440 in words is "one trillion, forty-two billion, two hundred thirty-four million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 529 580 667 920 1058 1160 1334 1840 2116 2320 2645 2668 3335 4232 5290 5336 6670 8464 10580 10672 13340 15341 21160 26680 30682 42320 53360 61364 76705 122728 153410 245456 306820 613640 849223 1227280 1698446 3396892 4246115 6793784 8492230 13587568 16984460 19532129 24627467 33968920 39064258 49254934 67937840 78128516 97660645 98509868 123137335 156257032 195321290 197019736 246274670 312514064 390642580 394039472 449238967 492549340 566431741 781285160 898477934 985098680 1132863482 1562570320 1796955868 1970197360 2246194835 2265726964 2832158705 3593911736 4492389670 4531453928 5664317410 7187823472 8984779340 9062907856 11328634820 13027930043 17969558680 22657269640 26055860086 35939117360 45314539280 52111720172 65139650215 104223440344 130279300430 208446880688 260558600860 521117201720 1042234403440