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3141213011442 = 23311311131509631
BaseRepresentation
bin101101101101011110111…
…000101011110111110010
3102010022000112110112002000
4231231132320223313302
5402431201012331232
610403015304234430
7442642121022642
oct55553670536762
912108015415060
103141213011442
1110011a9943310
12428955a6ba16
1319a2a47c083c
14ac06d680522
1556a9bbc127c
hex2db5ee2bdf2

3141213011442 has 128 divisors (see below), whose sum is σ = 7930278051840. Its totient is φ = 913024224000.

The previous prime is 3141213011429. The next prime is 3141213011449. The reversal of 3141213011442 is 2441103121413.

It is a happy number.

3141213011442 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 213 + 0 + 1 + 1 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3141213011449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1325967 + ... + 2835597.

It is an arithmetic number, because the mean of its divisors is an integer number (61955297280).

Almost surely, 23141213011442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141213011442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965139025920).

3141213011442 is an abundant number, since it is smaller than the sum of its proper divisors (4789065040398).

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

3141213011442 is a wasteful number, since it uses less digits than its factorization.

3141213011442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509797 (or 1509791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 3141213011442 its reverse (2441103121413), we get a palindrome (5582316132855).

The spelling of 3141213011442 in words is "three trillion, one hundred forty-one billion, two hundred thirteen million, eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 113 186 198 226 279 297 339 341 558 594 678 682 837 1017 1023 1243 1674 2034 2046 2486 3051 3069 3503 3729 6102 6138 7006 7458 9207 10509 11187 18414 21018 22374 31527 33561 38533 63054 67122 77066 94581 115599 189162 231198 346797 693594 1040391 1509631 2080782 3019262 4528893 9057786 13586679 16605941 27173358 33211882 40760037 46798561 49817823 81520074 93597122 99635646 140395683 149453469 170588303 280791366 298906938 341176606 421187049 448360407 511764909 514784171 842374098 896720814 1023529818 1029568342 1263561147 1535294727 1544352513 1876471333 2527122294 3070589454 3088705026 3752942666 4605884181 4633057539 5288237393 5629413999 9211768362 9266115078 10576474786 11258827998 13899172617 15864712179 16888241997 27798345234 31729424358 33776483994 47594136537 50664725991 58170611323 95188273074 101329451982 116341222646 142782409611 174511833969 285564819222 349023667938 523535501907 1047071003814 1570606505721 3141213011442