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1133023133440 = 28511346923197
BaseRepresentation
bin10000011111001101011…
…100001111111100000000
311000022112022220202120001
4100133031130033330000
5122030412410232230
62224300441525344
7144600240505342
oct20371534177400
94008468822501
101133023133440
113a7570025a10
121637071a3854
1382ac7594313
143cba521b292
151e714bdd0ca
hex107cd70ff00

1133023133440 has 144 divisors (see below), whose sum is σ = 2961647831520. Its totient is φ = 411871887360.

The previous prime is 1133023133419. The next prime is 1133023133461. The reversal of 1133023133440 is 443313203311.

It is an interprime number because it is at equal distance from previous prime (1133023133419) and next prime (1133023133461).

It is a junction number, because it is equal to n+sod(n) for n = 1133023133399 and 1133023133408.

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, 48831922 + ... + 48855118.

It is an arithmetic number, because the mean of its divisors is an integer number (20566998830).

Almost surely, 21133023133440 is an apocalyptic number.

1133023133440 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 1133023133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480823915760).

1133023133440 is an abundant number, since it is smaller than the sum of its proper divisors (1828624698080).

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

1133023133440 is a wasteful number, since it uses less digits than its factorization.

1133023133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26684 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1133023133440 its reverse (443313203311), we get a palindrome (1576336336751).

The spelling of 1133023133440 in words is "one trillion, one hundred thirty-three billion, twenty-three million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3469 3520 6938 7040 13876 14080 17345 23197 27752 34690 38159 46394 55504 69380 76318 92788 111008 115985 138760 152636 185576 190795 222016 231970 255167 277520 305272 371152 381590 444032 463940 510334 555040 610544 742304 763180 888064 927880 1020668 1110080 1221088 1275835 1484608 1526360 1855760 2041336 2220160 2442176 2551670 2969216 3052720 3711520 4082672 4440320 4884352 5103340 5938432 6105440 7423040 8165344 9768704 10206680 12210880 14846080 16330688 20413360 24421760 29692160 32661376 40826720 48843520 65322752 80470393 81653440 160940786 163306880 321881572 326613760 402351965 643763144 804703930 885174323 1287526288 1609407860 1770348646 2575052576 3218815720 3540697292 4425871615 5150105152 6437631440 7081394584 8851743230 10300210304 12875262880 14162789168 17703486460 20600420608 25750525760 28325578336 35406972920 51501051520 56651156672 70813945840 103002103040 113302313344 141627891680 226604626688 283255783360 566511566720 1133023133440