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1396341952272 = 2432231933218107
BaseRepresentation
bin10100010100011100011…
…101110100111100010000
311221111012110201201100200
4110110130131310330100
5140334202014433042
62545245354015200
7202611440521611
oct24243435647420
94844173651320
101396341952272
114992046a1953
121a6754117500
13a189cab15a7
144b824869c08
15264c6e33c4c
hex1451c774f10

1396341952272 has 120 divisors (see below), whose sum is σ = 4079851473984. Its totient is φ = 444978116352.

The previous prime is 1396341952259. The next prime is 1396341952289. The reversal of 1396341952272 is 2722591436931.

It is a happy number.

1396341952272 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 3 + 41 + 9 + 522 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6293043 + ... + 6511149.

Almost surely, 21396341952272 is an apocalyptic number.

1396341952272 is a gapful number since it is divisible by the number (12) 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 1396341952272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039925736992).

1396341952272 is an abundant number, since it is smaller than the sum of its proper divisors (2683509521712).

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

1396341952272 is a wasteful number, since it uses less digits than its factorization.

1396341952272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220077 (or 220068 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 1396341952272 in words is "one trillion, three hundred ninety-six billion, three hundred forty-one million, nine hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 1933 3312 3866 5799 7732 11598 15464 17397 23196 30928 34794 44459 46392 69588 88918 92784 133377 139176 177836 218107 266754 278352 355672 400131 436214 533508 654321 711344 800262 872428 1067016 1308642 1600524 1744856 1962963 2134032 2617284 3201048 3489712 3925926 5016461 5234568 6402096 7851852 10032922 10469136 15049383 15703704 20065844 30098766 31407408 40131688 45148149 60197532 80263376 90296298 120395064 180592596 240790128 361185192 421600831 722370384 843201662 1264802493 1686403324 2529604986 3372806648 3794407479 5059209972 6745613296 7588814958 9696819113 10118419944 15177629916 19393638226 20236839888 29090457339 30355259832 38787276452 58180914678 60710519664 77574552904 87271372017 116361829356 155149105808 174542744034 232723658712 349085488068 465447317424 698170976136 1396341952272