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1123244421040 = 245743193241691
BaseRepresentation
bin10000010110000110100…
…101011010111110110000
310222101021211112200221201
4100112012211122332300
5121400401032433130
62220002242100544
7144103021021630
oct20260645327660
93871254480851
101123244421040
113a3402213615
1216183834a754
1381bc96a5671
143c51861c6c0
151e341491bca
hex1058695afb0

1123244421040 has 160 divisors (see below), whose sum is σ = 3069867373056. Its totient is φ = 374205726720.

The previous prime is 1123244421017. The next prime is 1123244421041. The reversal of 1123244421040 is 401244423211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1123244421041) by changing a digit.

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, 4526595 + ... + 4768285.

Almost surely, 21123244421040 is an apocalyptic number.

1123244421040 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 1123244421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534933686528).

1123244421040 is an abundant number, since it is smaller than the sum of its proper divisors (1946622952016).

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

1123244421040 is a wasteful number, since it uses less digits than its factorization.

1123244421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241947 (or 241941 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1123244421040 its reverse (401244423211), we get a palindrome (1524488844251).

The spelling of 1123244421040 in words is "one trillion, one hundred twenty-three billion, two hundred forty-four million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 193 215 280 301 344 386 430 560 602 688 772 860 965 1204 1351 1505 1544 1720 1930 2408 2702 3010 3088 3440 3860 4816 5404 6020 6755 7720 8299 10808 12040 13510 15440 16598 21616 24080 27020 33196 41495 54040 58093 66392 82990 108080 116186 132784 165980 232372 241691 290465 331960 464744 483382 580930 663920 929488 966764 1161860 1208455 1691837 1933528 2323720 2416910 3383674 3867056 4647440 4833820 6767348 8459185 9667640 10392713 13534696 16918370 19335280 20785426 27069392 33836740 41570852 46646363 51963565 67673480 72748991 83141704 93292726 103927130 135346960 145497982 166283408 186585452 207854260 233231815 290995964 326524541 363744955 373170904 415708520 466463630 581991928 653049082 727489910 746341808 831417040 932927260 1163983856 1306098164 1454979820 1632622705 1865854520 2005793609 2612196328 2909959640 3265245410 3731709040 4011587218 5224392656 5819919280 6530490820 8023174436 10028968045 13060981640 14040555263 16046348872 20057936090 26121963280 28081110526 32092697744 40115872180 56162221052 70202776315 80231744360 112324442104 140405552630 160463488720 224648884208 280811105260 561622210520 1123244421040