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134311214250 = 23253499119627
BaseRepresentation
bin111110100010110010…
…0100111110010101010
3110211200101020121202200
41331011210213302222
54200032132324000
6141411323241030
712463233325053
oct1750544476252
9424611217680
10134311214250
1151a631a7214
1222044679176
13c88611c495
146701cb172a
1537615b0500
hex1f45927caa

134311214250 has 96 divisors (see below), whose sum is σ = 363908376000. Its totient is φ = 35744248800.

The previous prime is 134311214239. The next prime is 134311214267. The reversal of 134311214250 is 52412113431.

134311214250 is a `hidden beast` number, since 13 + 431 + 1 + 214 + 2 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062937 + ... + 1182563.

It is an arithmetic number, because the mean of its divisors is an integer number (3790712250).

Almost surely, 2134311214250 is an apocalyptic number.

134311214250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134311214250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181954188000).

134311214250 is an abundant number, since it is smaller than the sum of its proper divisors (229597161750).

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

134311214250 is a wasteful number, since it uses less digits than its factorization.

134311214250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120149 (or 120136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134311214250 its reverse (52412113431), we get a palindrome (186723327681).

The spelling of 134311214250 in words is "one hundred thirty-four billion, three hundred eleven million, two hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 499 750 998 1125 1497 2250 2495 2994 4491 4990 7485 8982 12475 14970 22455 24950 37425 44910 62375 74850 112275 119627 124750 187125 224550 239254 358881 374250 561375 598135 717762 1076643 1122750 1196270 1794405 2153286 2990675 3588810 5383215 5981350 8972025 10766430 14953375 17944050 26916075 29906750 44860125 53832150 59693873 89720250 119387746 134580375 179081619 269160750 298469365 358163238 537244857 596938730 895408095 1074489714 1492346825 1790816190 2686224285 2984693650 4477040475 5372448570 7461734125 8954080950 13431121425 14923468250 22385202375 26862242850 44770404750 67155607125 134311214250