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1322444330040 = 2335194813120511
BaseRepresentation
bin10011001111100111110…
…100110001010000111000
311200102110102022112221010
4103033213310301100320
5133131331222030130
62451304511313520
7164354255223051
oct23174764612070
94612412275833
101322444330040
1146a933391589
1219436bb1b8a0
139792400c3c2
144801434d728
15245ee5720b0
hex133e7d31438

1322444330040 has 128 divisors (see below), whose sum is σ = 4177042329600. Its totient is φ = 334019013120.

The previous prime is 1322444330023. The next prime is 1322444330069. The reversal of 1322444330040 is 400334442231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10913385 + ... + 11033895.

It is an arithmetic number, because the mean of its divisors is an integer number (32633143200).

Almost surely, 21322444330040 is an apocalyptic number.

1322444330040 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 1322444330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088521164800).

1322444330040 is an abundant number, since it is smaller than the sum of its proper divisors (2854597999560).

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

1322444330040 is a wasteful number, since it uses less digits than its factorization.

1322444330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125357 (or 125353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1322444330040 its reverse (400334442231), we get a palindrome (1722778772271).

The spelling of 1322444330040 in words is "one trillion, three hundred twenty-two billion, four hundred forty-four million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 4813 9626 14439 19252 24065 28878 38504 48130 57756 72195 91447 96260 115512 120511 144390 182894 192520 241022 274341 288780 361533 365788 457235 482044 548682 577560 602555 723066 731576 914470 964088 1097364 1205110 1371705 1446132 1807665 1828940 2194728 2289709 2410220 2743410 2892264 3615330 3657880 4579418 4820440 5486820 6869127 7230660 9158836 10973640 11448545 13738254 14461320 18317672 22897090 27476508 34345635 45794180 54953016 68691270 91588360 137382540 274765080 580019443 1160038886 1740058329 2320077772 2900097215 3480116658 4640155544 5800194430 6960233316 8700291645 11020369417 11600388860 13920466632 17400583290 22040738834 23200777720 33061108251 34801166580 44081477668 55101847085 66122216502 69602333160 88162955336 110203694170 132244433004 165305541255 220407388340 264488866008 330611082510 440814776680 661222165020 1322444330040