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1023214214040 = 233529294027073
BaseRepresentation
bin11101110001111000101…
…00011101101110011000
310121211002120001200111020
432320330110131232120
5113231020314322130
62102020315402440
7133632126213234
oct16707424355630
93554076050436
101023214214040
11364a40826557
12146380453420
137564784a975
14377495775c4
151b93978be10
hexee3c51db98

1023214214040 has 64 divisors (see below), whose sum is σ = 3175492399200. Its totient is φ = 263448256512.

The previous prime is 1023214214027. The next prime is 1023214214041. The reversal of 1023214214040 is 404124123201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1023214214040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023214214041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147010057 + ... + 147017016.

Almost surely, 21023214214040 is an apocalyptic number.

1023214214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023214214040 is an abundant number, since it is smaller than the sum of its proper divisors (2152278185160).

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

1023214214040 is a wasteful number, since it uses less digits than its factorization.

1023214214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294027116 (or 294027112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1023214214040 its reverse (404124123201), we get a palindrome (1427338337241).

The spelling of 1023214214040 in words is "one trillion, twenty-three billion, two hundred fourteen million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 294027073 588054146 882081219 1176108292 1470135365 1764162438 2352216584 2940270730 3528324876 4410406095 5880541460 7056649752 8526785117 8820812190 11761082920 17053570234 17641624380 25580355351 34107140468 35283248760 42633925585 51160710702 68214280936 85267851170 102321421404 127901776755 170535702340 204642842808 255803553510 341071404680 511607107020 1023214214040