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2442312132442 = 2713101304143691
BaseRepresentation
bin100011100010100101001…
…001011010011101011010
322122111000221011020220021
4203202211021122131122
5310003323401214232
65105552133021054
7341310525411550
oct43424511323532
98574027136807
102442312132442
11861862589586
1233540548478a
13149402c87470
14862cc329bd0
15437e4379397
hex238a525a75a

2442312132442 has 64 divisors (see below), whose sum is σ = 4555127985408. Its totient is φ = 956286720000.

The previous prime is 2442312132427. The next prime is 2442312132479.

2442312132442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2442312132398 and 2442312132407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55877817 + ... + 55921507.

It is an arithmetic number, because the mean of its divisors is an integer number (71173874772).

Almost surely, 22442312132442 is an apocalyptic number.

2442312132442 is a deficient number, since it is larger than the sum of its proper divisors (2112815852966).

2442312132442 is a wasteful number, since it uses less digits than its factorization.

2442312132442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46855.

The product of its digits is 73728, while the sum is 34.

The spelling of 2442312132442 in words is "two trillion, four hundred forty-two billion, three hundred twelve million, one hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 7 13 14 26 91 101 182 202 707 1313 1414 2626 3041 6082 9191 18382 21287 39533 42574 43691 79066 87382 276731 305837 307141 553462 567983 611674 614282 1135966 2149987 3975881 3992833 4299974 4412791 7951762 7985666 8825582 27949831 30889537 55899662 57366283 61779074 114732566 132864331 265728662 401563981 803127962 930050317 1727236303 1860100634 3454472606 12090654121 13419297431 24181308242 26838594862 93935082017 174450866603 187870164034 348901733206 1221156066221 2442312132442