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1383440878190 = 257311327113171
BaseRepresentation
bin10100001000011011100…
…000001000101001101110
311220020220101002020202002
4110020123200020221232
5140131241331100230
62535313255132302
7201643645304000
oct24103340105156
94806811066662
101383440878190
11493794344a58
121a4153674092
13a05c5068547
144ad5d2d2370
1525ebe523545
hex1421b808a6e

1383440878190 has 128 divisors (see below), whose sum is σ = 2940749107200. Its totient is φ = 468354700800.

The previous prime is 1383440878159. The next prime is 1383440878243. The reversal of 1383440878190 is 918780443831.

It is a super-3 number, since 3×13834408781903 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105030305 + ... + 105043475.

It is an arithmetic number, because the mean of its divisors is an integer number (22974602400).

Almost surely, 21383440878190 is an apocalyptic number.

1383440878190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1383440878190 is an abundant number, since it is smaller than the sum of its proper divisors (1557308229010).

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

1383440878190 is a wasteful number, since it uses less digits than its factorization.

1383440878190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13569 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 1383440878190 in words is "one trillion, three hundred eighty-three billion, four hundred forty million, eight hundred seventy-eight thousand, one hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 113 226 245 271 343 490 542 565 686 791 1130 1355 1582 1715 1897 2710 3430 3794 3955 5537 7910 9485 11074 13171 13279 18970 26342 26558 27685 30623 38759 55370 61246 65855 66395 77518 92197 92953 131710 132790 153115 184394 185906 193795 214361 306230 387590 428722 460985 464765 645379 921970 929530 1071805 1290758 1488323 1500527 2143610 2976646 3001054 3226895 3569341 4517653 6453790 7138682 7441615 7502635 9035306 10418261 10503689 14883230 15005270 17846705 20836522 21007378 22588265 24985387 35693410 45176530 49970774 52091305 52518445 72927827 104182610 105036890 124926935 145855654 174897709 249853870 349795418 364639135 403335533 510494789 729278270 806671066 874488545 1020989578 1224283963 1748977090 2016677665 2448567926 2552473945 2823348731 4033355330 5104947890 5646697462 6121419815 12242839630 14116743655 19763441117 28233487310 39526882234 98817205585 138344087819 197634411170 276688175638 691720439095 1383440878190