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1341322231431 = 371329593378521
BaseRepresentation
bin10011100001001101000…
…010001111111010000111
311202020012001102022021010
4103201031002033322013
5133434011442401211
62504110034253303
7165623133564330
oct23411502177207
94666161368233
101341322231431
11477940482286
12197b5a127233
1399642099960
1448cc55c3287
1524d56a3e4a6
hex1384d08fe87

1341322231431 has 128 divisors (see below), whose sum is σ = 2322783590400. Its totient is φ = 669464248320.

The previous prime is 1341322231421. The next prime is 1341322231451.

1341322231431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1341322231431 - 27 = 1341322231303 is a prime.

It is a super-2 number, since 2×13413222314312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341322231411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157409451 + ... + 157417971.

It is an arithmetic number, because the mean of its divisors is an integer number (18146746800).

Almost surely, 21341322231431 is an apocalyptic number.

1341322231431 is a deficient number, since it is larger than the sum of its proper divisors (981461358969).

1341322231431 is a wasteful number, since it uses less digits than its factorization.

1341322231431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969.

The product of its digits is 10368, while the sum is 30.

The spelling of 1341322231431 in words is "one trillion, three hundred forty-one billion, three hundred twenty-two million, two hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 59 87 91 177 203 273 337 377 413 609 767 1011 1131 1239 1711 2301 2359 2639 4381 5133 5369 7077 7917 8521 9773 11977 13143 16107 19883 22243 25563 29319 30667 35931 59647 59649 66729 68411 92001 110773 127049 139181 155701 178941 205233 247109 258479 332319 381147 417543 467103 502739 576607 741327 775411 775437 889343 1508217 1729763 1729821 1809353 2326233 2668029 2871577 3212417 3519173 4036249 5189289 5428059 6535607 7495891 8614731 9637251 10557519 12108747 14579431 19606821 20101039 22486919 22487673 37330501 43738293 45749249 52471237 60303117 67460757 83275733 102056017 111991503 137247747 157413711 169423043 189532603 249827199 261313507 306168051 508269129 568597809 582930131 783940521 1082584529 1185961301 1326728221 1748790393 2202499559 3247753587 3557883903 3980184663 4913268247 6607498677 7578091703 14739804741 15417496913 22734275109 34392877729 46252490739 63872487211 103178633187 191617461633 447107410477 1341322231431