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132412424214231 = 327210124691120401
BaseRepresentation
bin11110000110110110101011…
…100000100101011011010111
3122100211111121111202222121100
4132012312223200211123113
5114323421121044323411
61145341232233121143
736614324211166500
oct3606665340453327
9570744544688540
10132412424214231
1139210880536457
1212a264b8b591b3
1358b659045b335
14249ab1ccd7ba7
15104953ea88456
hex786dab8256d7

132412424214231 has 72 divisors (see below), whose sum is σ = 224702730119088. Its totient is φ = 74911435200000.

The previous prime is 132412424214163. The next prime is 132412424214241.

132412424214231 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 12 + 424 + 214 + 2 + 3 + 1 = 666.

132412424214231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132412424214231 - 214 = 132412424197847 is a prime.

It is a super-2 number, since 2×1324124242142312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132412424214241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1099701631 + ... + 1099822031.

It is an arithmetic number, because the mean of its divisors is an integer number (3120871251654).

Almost surely, 2132412424214231 is an apocalyptic number.

132412424214231 is a deficient number, since it is larger than the sum of its proper divisors (92290305904857).

132412424214231 is a wasteful number, since it uses less digits than its factorization.

132412424214231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145213 (or 145203 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 132412424214231 in words is "one hundred thirty-two trillion, four hundred twelve billion, four hundred twenty-four million, two hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 2121 4949 6363 14847 24691 44541 74073 120401 172837 222219 361203 518511 842807 1083609 1209859 1555533 2493791 2528421 3629577 5899649 7481373 7585263 10888731 12160501 17456537 17698947 22444119 36481503 52369611 53096841 85123507 109444509 122195759 157108833 255370521 366587277 595864549 766111563 1099761831 1787593647 2972821091 5362780941 8918463273 20809747637 26755389819 62429242911 145668233459 187287728733 300254930191 437004700377 900764790573 1311014101131 2101784511337 2702294371719 6305353534011 14712491579359 18916060602033 44137474738077 132412424214231