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42030234414414 = 2345313754166047
BaseRepresentation
bin10011000111001111011010…
…01100010010110101001110
312111211001101022011020210000
421203213231030102311032
521002110410002230124
6225220231221425130
711565404250610431
oct1143475514226516
9174731338136700
1042030234414414
1112434a16667a04
1248698a856b1a6
131a5b58493a57c
14a543ba593818
154cd4821c96c9
hex2639ed312d4e

42030234414414 has 160 divisors (see below), whose sum is σ = 96836353929216. Its totient is φ = 13619974417920.

The previous prime is 42030234414401. The next prime is 42030234414451. The reversal of 42030234414414 is 41441443203024.

42030234414414 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 0 + 234 + 4 + 1 + 4 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 636335539 + ... + 636401585.

Almost surely, 242030234414414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030234414414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48418176964608).

42030234414414 is an abundant number, since it is smaller than the sum of its proper divisors (54806119514802).

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

42030234414414 is a wasteful number, since it uses less digits than its factorization.

42030234414414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66792 (or 66783 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42030234414414 its reverse (41441443203024), we get a palindrome (83471677617438).

The spelling of 42030234414414 in words is "forty-two trillion, thirty billion, two hundred thirty-four million, four hundred fourteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 137 159 162 274 318 411 477 541 822 954 1082 1233 1431 1623 2466 2862 3246 3699 4293 4869 7261 7398 8586 9738 11097 14522 14607 21783 22194 28673 29214 43566 43821 57346 65349 66047 74117 86019 87642 130698 132094 148234 172038 196047 198141 222351 258057 392094 396282 444702 516114 588141 594423 667053 774171 1176282 1188846 1334106 1548342 1783269 2001159 2322513 3500491 3566538 3928201 4002318 4645026 5349807 6003477 7000982 7856402 9048439 10501473 10699614 11784603 12006954 18096878 21002946 23569206 27145317 31504419 35353809 35731427 54290634 63008838 70707618 71462854 81435951 94513257 106061427 107194281 162871902 189026514 212122854 214388562 244307853 283539771 318184281 321582843 479567267 488615706 567079542 636368562 643165686 732923559 959134534 964748529 1438701801 1465847118 1893765631 1929497058 2877403602 2894245587 3787531262 4316105403 4895205499 5681296893 5788491174 8632210806 9790410998 11362593786 12948316209 14685616497 17043890679 25896632418 29371232994 34087781358 38844948627 44056849491 51131672037 77689897254 88113698982 102263344074 132170548473 153395016111 259445891447 264341096946 306790032222 396511645419 518891782894 778337674341 793023290838 1556675348682 2335013023023 4670026046046 7005039069069 14010078138138 21015117207207 42030234414414