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134240220400 = 245211132346857
BaseRepresentation
bin111110100000101010…
…1110011010011110000
3110211111102122202111211
41331001111303103300
54144410444023100
6141400305445504
712461412021646
oct1750125632360
9424442582454
10134240220400
1151a27117510
1222024940894
13c8744c34a0
1466d66b1196
15375a23a1ba
hex1f415734f0

134240220400 has 120 divisors (see below), whose sum is σ = 378895530384. Its totient is φ = 45059635200.

The previous prime is 134240220377. The next prime is 134240220431. The reversal of 134240220400 is 4022042431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 1116229 + ... + 1230628.

Almost surely, 2134240220400 is an apocalyptic number.

134240220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134240220400 is an abundant number, since it is smaller than the sum of its proper divisors (244655309984).

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

134240220400 is a wasteful number, since it uses less digits than its factorization.

134240220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346899 (or 2346888 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 134240220400 its reverse (4022042431), we get a palindrome (138262262831).

The spelling of 134240220400 in words is "one hundred thirty-four billion, two hundred forty million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 2346857 4693714 9387428 11734285 18774856 23468570 25815427 30509141 37549712 46937140 51630854 58671425 61018282 93874280 103261708 117342850 122036564 129077135 152545705 187748560 206523416 234685700 244073128 258154270 305091410 335600551 413046832 469371400 488146256 516308540 610182820 645385675 671201102 762728525 938742800 1032617080 1220365640 1290771350 1342402204 1525457050 1678002755 2065234160 2440731280 2581542700 2684804408 3050914100 3356005510 5163085400 5369608816 6101828200 6712011020 8390013775 10326170800 12203656400 13424022040 16780027550 26848044080 33560055100 67120110200 134240220400