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134402414440410 = 232531122343214913
BaseRepresentation
bin11110100011110100000000…
…001010110110111111011010
3122121212202010100110122021200
4132203310000022312333122
5120104022121044043120
61153503341122015030
740211153060054514
oct3643640012667732
9577782110418250
10134402414440410
11399088200a6a96
12130a81087a7476
1359cc129c925cc
14252917c1dcbb4
1510811addc6e90
hex7a3d002b6fda

134402414440410 has 96 divisors (see below), whose sum is σ = 350587220675328. Its totient is φ = 35723635445760.

The previous prime is 134402414440409. The next prime is 134402414440453. The reversal of 134402414440410 is 14044414204431.

134402414440410 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 241 + 4 + 4 + 404 + 1 + 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, 625273114 + ... + 625488026.

It is an arithmetic number, because the mean of its divisors is an integer number (3651950215368).

Almost surely, 2134402414440410 is an apocalyptic number.

134402414440410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134402414440410 is an abundant number, since it is smaller than the sum of its proper divisors (216184806234918).

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

134402414440410 is a wasteful number, since it uses less digits than its factorization.

134402414440410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237580 (or 237577 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 134402414440410 its reverse (14044414204431), we get a palindrome (148446828644841).

The spelling of 134402414440410 in words is "one hundred thirty-four trillion, four hundred two billion, four hundred fourteen million, four hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 311 622 933 1555 1866 2799 3110 4665 5598 9330 13995 22343 27990 44686 67029 111715 134058 201087 214913 223430 335145 402174 429826 644739 670290 1005435 1074565 1289478 1934217 2010870 2149130 3223695 3868434 6447390 6948673 9671085 13897346 19342170 20846019 34743365 41692038 62538057 66837943 69486730 104230095 125076114 133675886 200513829 208460190 312690285 334189715 401027658 601541487 625380570 668379430 1002569145 1203082974 2005138290 3007707435 4801801159 6015414870 9603602318 14405403477 24009005795 28810806954 43216210431 48018011590 72027017385 86432420862 144054034770 216081052155 432162104310 1493360160449 2986720320898 4480080481347 7466800802245 8960160962694 13440241444041 14933601604490 22400402406735 26880482888082 44800804813470 67201207220205 134402414440410