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134121324024 = 233247226717483
BaseRepresentation
bin111110011101001000…
…0001111110111111000
3110211012010221012100100
41330322100033313320
54144140024332044
6141340421235400
712455436305202
oct1747220176770
9424163835310
10134121324024
1151975a99946
1221bb0b62b60
13c8559949bc
1466c49a1772
15374eaa1869
hex1f3a40fdf8

134121324024 has 96 divisors (see below), whose sum is σ = 371158744320. Its totient is φ = 43734090048.

The previous prime is 134121324023. The next prime is 134121324053. The reversal of 134121324024 is 420423121431.

134121324024 is a `hidden beast` number, since 1 + 3 + 41 + 213 + 2 + 402 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134121324023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7662787 + ... + 7680269.

It is an arithmetic number, because the mean of its divisors is an integer number (3866236920).

Almost surely, 2134121324024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134121324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185579372160).

134121324024 is an abundant number, since it is smaller than the sum of its proper divisors (237037420296).

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

134121324024 is a wasteful number, since it uses less digits than its factorization.

134121324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19809 (or 19802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134121324024 its reverse (420423121431), we get a palindrome (554544445455).

The spelling of 134121324024 in words is "one hundred thirty-four billion, one hundred twenty-one million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2267 3384 4534 6801 9068 13602 17483 18136 20403 27204 34966 40806 52449 54408 69932 81612 104898 106549 139864 157347 163224 209796 213098 314694 319647 419592 426196 629388 639294 821701 852392 958941 1258776 1278588 1643402 1917882 2465103 2557176 3286804 3835764 4930206 6573608 7395309 7671528 9860412 14790618 19720824 29581236 39633961 59162472 79267922 118901883 158535844 237803766 317071688 356705649 475607532 713411298 951215064 1426822596 1862796167 2853645192 3725592334 5588388501 7451184668 11176777002 14902369336 16765165503 22353554004 33530331006 44707108008 67060662012 134121324024