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1124141031240 = 233543464946861
BaseRepresentation
bin10000010110111100000…
…001101101111101001000
310222110121022200012220220
4100112330001231331020
5121404220100444430
62220231231350040
7144134156051553
oct20267401557510
93873538605826
101124141031240
113a3822340087
12161a48682320
1382010383146
143c5a173569a
151e39504e110
hex105bc06df48

1124141031240 has 128 divisors (see below), whose sum is σ = 3451667472000. Its totient is φ = 292730296320.

The previous prime is 1124141031173. The next prime is 1124141031263. The reversal of 1124141031240 is 421301414211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1124141031240.

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, 23965410 + ... + 24012270.

It is an arithmetic number, because the mean of its divisors is an integer number (26966152125).

Almost surely, 21124141031240 is an apocalyptic number.

1124141031240 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 1124141031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725833736000).

1124141031240 is an abundant number, since it is smaller than the sum of its proper divisors (2327526440760).

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

1124141031240 is a wasteful number, since it uses less digits than its factorization.

1124141031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51567 (or 51563 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1124141031240 its reverse (421301414211), we get a palindrome (1545442445451).

The spelling of 1124141031240 in words is "one trillion, one hundred twenty-four billion, one hundred forty-one million, thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 4649 5160 9298 13947 18596 23245 27894 37192 46490 46861 55788 69735 92980 93722 111576 139470 140583 185960 187444 199907 234305 278940 281166 374888 399814 468610 557880 562332 599721 702915 799628 937220 999535 1124664 1199442 1405830 1599256 1874440 1999070 2015023 2398884 2811660 2998605 3998140 4030046 4797768 5623320 5997210 6045069 7996280 8060092 10075115 11994420 12090138 16120184 20150230 23988840 24180276 30225345 40300460 48360552 60450690 80600920 120901380 217856789 241802760 435713578 653570367 871427156 1089283945 1307140734 1742854312 2178567890 2614281468 3267851835 4357135780 5228562936 6535703670 8714271560 9367841927 13071407340 18735683854 26142814680 28103525781 37471367708 46839209635 56207051562 74942735416 93678419270 112414103124 140517628905 187356838540 224828206248 281035257810 374713677080 562070515620 1124141031240