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402201244141320 = 2335132311209622189
BaseRepresentation
bin101101101110011001100011…
…0010010010000011100001000
31221202002001201020110120122110
41123130303012102100130020
5410204131122000010240
63543224411212222320
7150501036525256521
oct13334630622203410
91852061636416573
10402201244141320
11107176653a53448
1239139366a6a9a0
1314356550aac290
147146903519848
15317729d8d9c80
hex16dccc6490708

402201244141320 has 128 divisors (see below), whose sum is σ = 1355915900102400. Its totient is φ = 94698888244224.

The previous prime is 402201244141241. The next prime is 402201244141321. The reversal of 402201244141320 is 23141442102204.

It is a super-7 number, since 7×4022012441413207 (a number of 104 digits) contains 7777777 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (402201244141321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5604775215 + ... + 5604846974.

It is an arithmetic number, because the mean of its divisors is an integer number (10593092969550).

Almost surely, 2402201244141320 is an apocalyptic number.

402201244141320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402201244141320 is an abundant number, since it is smaller than the sum of its proper divisors (953714655961080).

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

402201244141320 is a wasteful number, since it uses less digits than its factorization.

402201244141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209622239 (or 11209622235 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 402201244141320 its reverse (23141442102204), we get a palindrome (425342686243524).

The spelling of 402201244141320 in words is "four hundred two trillion, two hundred one billion, two hundred forty-four million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 11209622189 22419244378 33628866567 44838488756 56048110945 67257733134 89676977512 112096221890 134515466268 145725088457 168144332835 224192443780 257821310347 269030932536 291450176914 336288665670 437175265371 448384887560 515642620694 582900353828 672577331340 728625442285 773463931041 874350530742 1031285241388 1165800707656 1289106551735 1345154662680 1457250884570 1546927862082 1748701061484 2062570482776 2185876326855 2578213103470 2914501769140 3093855724164 3351677034511 3497402122968 3867319655205 4371752653710 5156426206940 5829003538280 6187711448328 6703354069022 7734639310410 8743505307420 10055031103533 10312852413880 13406708138044 15469278620820 16758385172555 17487010614840 20110062207066 26813416276088 30938557241640 33516770345110 40220124414132 50275155517665 67033540690220 80440248828264 100550311035330 134067081380440 201100622070660 402201244141320