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1320022303040 = 26571709344819
BaseRepresentation
bin10011001101010111011…
…101011110000101000000
311200012012121211211111102
4103031113131132011000
5133111401202144130
62450224311033532
7164240245305620
oct23152735360500
94605177754442
101320022303040
114699001a4881
121939b496b8a8
13976292b082c
1447c647d8880
152450bae9645
hex1335775e140

1320022303040 has 112 divisors (see below), whose sum is σ = 3594458851200. Its totient is φ = 452312942592.

The previous prime is 1320022302979. The next prime is 1320022303049. The reversal of 1320022303040 is 403032200231.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×13200223030403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320022303049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3655751 + ... + 4000569.

It is an arithmetic number, because the mean of its divisors is an integer number (32093382600).

Almost surely, 21320022303040 is an apocalyptic number.

1320022303040 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 1320022303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797229425600).

1320022303040 is an abundant number, since it is smaller than the sum of its proper divisors (2274436548160).

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

1320022303040 is a wasteful number, since it uses less digits than its factorization.

1320022303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346552 (or 346542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1320022303040 its reverse (403032200231), we get a palindrome (1723054503271).

The spelling of 1320022303040 in words is "one trillion, three hundred twenty billion, twenty-two million, three hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1709 2240 3418 6836 8545 11963 13672 17090 23926 27344 34180 47852 54688 59815 68360 95704 109376 119630 136720 191408 239260 273440 344819 382816 478520 546880 689638 765632 957040 1379276 1724095 1914080 2413733 2758552 3448190 3828160 4827466 5517104 6896380 9654932 11034208 12068665 13792760 19309864 22068416 24137330 27585520 38619728 48274660 55171040 77239456 96549320 110342080 154478912 193098640 386197280 589295671 772394560 1178591342 2357182684 2946478355 4125069697 4714365368 5892956710 8250139394 9428730736 11785913420 16500278788 18857461472 20625348485 23571826840 33000557576 37714922944 41250696970 47143653680 66001115152 82501393940 94287307360 132002230304 165002787880 188574614720 264004460608 330005575760 660011151520 1320022303040