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13032213450240 = 29354141387873
BaseRepresentation
bin1011110110100100110001…
…1101000000111000000000
31201010212102100210100120010
42331221030131000320000
53202004433120401430
643414525522344520
72513355253406055
oct275511435007000
951125370710503
1013032213450240
114174a2681a746
121565891abb140
13736c177b0c8a
14330a9640d02c
15178ee7787cb0
hexbda4c740e00

13032213450240 has 160 divisors (see below), whose sum is σ = 42678513462816. Its totient is φ = 3390494474240.

The previous prime is 13032213450227. The next prime is 13032213450257. The reversal of 13032213450240 is 4205431223031.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 13032213450198 and 13032213450207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20379057 + ... + 21008816.

Almost surely, 213032213450240 is an apocalyptic number.

13032213450240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032213450240 is an abundant number, since it is smaller than the sum of its proper divisors (29646300012576).

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

13032213450240 is an equidigital number, since it uses as much as digits as its factorization.

13032213450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41387940 (or 41387924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13032213450240 its reverse (4205431223031), we get a palindrome (17237644673271).

The spelling of 13032213450240 in words is "thirteen trillion, thirty-two billion, two hundred thirteen million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1230 1280 1312 1536 1640 1920 1968 2460 2560 2624 3280 3840 3936 4920 5248 6560 7680 7872 9840 10496 13120 15744 19680 20992 26240 31488 39360 52480 62976 78720 104960 157440 314880 41387873 82775746 124163619 165551492 206939365 248327238 331102984 413878730 496654476 620818095 662205968 827757460 993308952 1241636190 1324411936 1655514920 1696902793 1986617904 2483272380 2648823872 3311029840 3393805586 3973235808 4966544760 5090708379 5297647744 6622059680 6787611172 7946471616 8484513965 9933089520 10181416758 10595295488 13244119360 13575222344 15892943232 16969027930 19866179040 20362833516 21190590976 25453541895 26488238720 27150444688 31785886464 33938055860 39732358080 40725667032 50907083790 52976477440 54300889376 63571772928 67876111720 79464716160 81451334064 101814167580 105952954880 108601778752 135752223440 158929432320 162902668128 203628335160 217203557504 271504446880 317858864640 325805336256 407256670320 434407115008 543008893760 651610672512 814513340640 868814230016 1086017787520 1303221345024 1629026681280 2172035575040 2606442690048 3258053362560 4344071150080 6516106725120 13032213450240