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13422919120 = 2451329599743
BaseRepresentation
bin11001000000001000…
…10111110111010000
31021122110120221102121
430200010113313100
5204442231402440
610055535424024
7653426633662
oct144004276720
937573527377
1013422919120
115768984896
122727385014
13135bba92c0
149149b8532
1553864134a
hex320117dd0

13422919120 has 160 divisors (see below), whose sum is σ = 34872768000. Its totient is φ = 4770834432.

The previous prime is 13422919099. The next prime is 13422919187. The reversal of 13422919120 is 2191922431.

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, 18065469 + ... + 18066211.

It is an arithmetic number, because the mean of its divisors is an integer number (217954800).

Almost surely, 213422919120 is an apocalyptic number.

13422919120 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 13422919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384000).

13422919120 is an abundant number, since it is smaller than the sum of its proper divisors (21449848880).

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

13422919120 is a wasteful number, since it uses less digits than its factorization.

13422919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 13422919120 in words is "thirteen billion, four hundred twenty-two million, nine hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 599 743 754 1040 1160 1198 1486 1508 1885 2320 2396 2972 2995 3016 3715 3770 4792 5944 5990 6032 7430 7540 7787 9584 9659 11888 11980 14860 15080 15574 17371 19318 21547 23960 29720 30160 31148 34742 38636 38935 43094 47920 48295 59440 62296 69484 77272 77870 86188 86855 96590 107735 124592 138968 154544 155740 172376 173710 193180 215470 225823 277936 280111 311480 344752 347420 386360 430940 445057 451646 560222 622960 694840 772720 861880 890114 903292 1120444 1129115 1389680 1400555 1723760 1780228 1806584 2225285 2240888 2258230 2801110 3560456 3613168 4450570 4481776 4516460 5602220 5785741 7120912 8901140 9032920 11204440 11571482 12906653 17802280 18065840 22408880 23142964 25813306 28928705 35604560 46285928 51626612 57857410 64533265 92571856 103253224 115714820 129066530 167786489 206506448 231429640 258133060 335572978 462859280 516266120 671145956 838932445 1032532240 1342291912 1677864890 2684583824 3355729780 6711459560 13422919120