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1044332201040 = 24357198362347
BaseRepresentation
bin11110011001001110000…
…11001100010001010000
310200211121022021120120220
433030213003030101100
5114102243020413130
62115432023233040
7135310345146402
oct17144703142120
93624538246526
101044332201040
11372998335777
1214a4948a8780
1377631a3336b
1438790120b72
151c273743410
hexf3270cc450

1044332201040 has 160 divisors (see below), whose sum is σ = 3286419941376. Its totient is φ = 274282498560.

The previous prime is 1044332201009. The next prime is 1044332201071. The reversal of 1044332201040 is 401022334401.

It is an interprime number because it is at equal distance from previous prime (1044332201009) and next prime (1044332201071).

It is a super-2 number, since 2×10443322010402 (a number of 25 digits) contains 22 as substring.

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 1044332201040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16719147 + ... + 16781493.

Almost surely, 21044332201040 is an apocalyptic number.

1044332201040 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 1044332201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643209970688).

1044332201040 is an abundant number, since it is smaller than the sum of its proper divisors (2242087740336).

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

1044332201040 is a wasteful number, since it uses less digits than its factorization.

1044332201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63417 (or 63411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1044332201040 its reverse (401022334401), we get a palindrome (1445354535441).

The spelling of 1044332201040 in words is "one trillion, forty-four billion, three hundred thirty-two million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 983 1065 1136 1420 1704 1966 2130 2840 2949 3408 3932 4260 4915 5680 5898 7864 8520 9830 11796 14745 15728 17040 19660 23592 29490 39320 47184 58980 62347 69793 78640 117960 124694 139586 187041 209379 235920 249388 279172 311735 348965 374082 418758 498776 558344 623470 697930 748164 837516 935205 997552 1046895 1116688 1246940 1395860 1496328 1675032 1870410 2093790 2493880 2791720 2992656 3350064 3740820 4187580 4426637 4987760 5583440 7481640 8375160 8853274 13279911 14963280 16750320 17706548 22133185 26559822 35413096 44266370 53119644 61287101 66399555 70826192 88532740 106239288 122574202 132799110 177065480 183861303 212478576 245148404 265598220 306435505 354130960 367722606 490296808 531196440 612871010 735445212 919306515 980593616 1062392880 1225742020 1470890424 1838613030 2451484040 2941780848 3677226060 4351384171 4902968080 7354452120 8702768342 13054152513 14708904240 17405536684 21756920855 26108305026 34811073368 43513841710 52216610052 65270762565 69622146736 87027683420 104433220104 130541525130 174055366840 208866440208 261083050260 348110733680 522166100520 1044332201040