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125414134326 = 23413374213823
BaseRepresentation
bin111010011001101000…
…0111101001000110110
3102222201022211010120000
41310303100331020312
54023322004244301
6133340420052130
712026610360405
oct1646320751066
9388638733500
10125414134326
11492080113a8
1220380b34046
13ba98a95b50
1460da40b63c
1533e0463786
hex1d3343d236

125414134326 has 160 divisors (see below), whose sum is σ = 311636696448. Its totient is φ = 37447038720.

The previous prime is 125414134277. The next prime is 125414134333. The reversal of 125414134326 is 623431414521.

125414134326 is a `hidden beast` number, since 1 + 254 + 1 + 41 + 343 + 26 = 666.

It is a Curzon number.

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 79 ways as a sum of consecutive naturals, for example, 32803251 + ... + 32807073.

Almost surely, 2125414134326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125414134326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155818348224).

125414134326 is an abundant number, since it is smaller than the sum of its proper divisors (186222562122).

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

125414134326 is a wasteful number, since it uses less digits than its factorization.

125414134326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4299 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 125414134326 its reverse (623431414521), we get a palindrome (748845548847).

The spelling of 125414134326 in words is "one hundred twenty-five billion, four hundred fourteen million, one hundred thirty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 421 481 666 702 842 962 999 1053 1263 1443 1998 2106 2526 2886 2997 3789 3823 4329 5473 5994 7578 7646 8658 10946 11367 11469 12987 15577 16419 22734 22938 25974 31154 32838 34101 34407 38961 46731 49257 49699 68202 68814 77922 93462 98514 99398 103221 140193 141451 147771 149097 202501 206442 280386 282902 295542 298194 309663 405002 420579 424353 443313 447291 607503 619326 841158 848706 886626 894582 1215006 1261737 1273059 1341873 1609483 1822509 1838863 2523474 2546118 2683746 3218966 3645018 3677726 3819177 4025619 4828449 5467527 5516589 7638354 8051238 9656898 10935054 11033178 11457531 14485347 16402581 16549767 20923279 22915062 28970694 32805162 33099534 41846558 43456041 49649301 59550871 62769837 86912082 99298602 119101742 125539674 130368123 148947903 178652613 188309511 260736246 297895806 357305226 376619022 535957839 564928533 774161323 1071915678 1129857066 1548322646 1607873517 1694785599 2322483969 3215747034 3389571198 4644967938 4823620551 6967451907 9647241102 13934903814 20902355721 41804711442 62707067163 125414134326