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3142656401241 = 3737435311031609
BaseRepresentation
bin101101101110110100111…
…010110001111101011001
3102010102202010110022122110
4231232310322301331121
5402442130014314431
610403414425142533
7443022645442320
oct55566472617531
912112663408573
103142656401241
11100187a678445
1242909932aa49
1319a474851a46
14ac1692490b7
1556b33787346
hex2dbb4eb1f59

3142656401241 has 128 divisors (see below), whose sum is σ = 5135408087040. Its totient is φ = 1671875831808.

The previous prime is 3142656401231. The next prime is 3142656401243. The reversal of 3142656401241 is 1421046562413.

It is not a de Polignac number, because 3142656401241 - 210 = 3142656400217 is a prime.

It is a super-2 number, since 2×31426564012412 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3142656401241.

It is not an unprimeable number, because it can be changed into a prime (3142656401243) 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, 1953172845 + ... + 1953174453.

It is an arithmetic number, because the mean of its divisors is an integer number (40120375680).

Almost surely, 23142656401241 is an apocalyptic number.

It is an amenable number.

3142656401241 is a deficient number, since it is larger than the sum of its proper divisors (1992751685799).

3142656401241 is a wasteful number, since it uses less digits than its factorization.

3142656401241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 3142656401241 in words is "three trillion, one hundred forty-two billion, six hundred fifty-six million, four hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 21 37 43 53 111 129 159 259 301 371 777 903 1103 1113 1591 1609 1961 2279 3309 4773 4827 5883 6837 7721 11137 11263 13727 15953 23163 33411 33789 40811 41181 47429 47859 58459 59533 69187 84323 85277 122433 142287 175377 178599 207561 252969 255831 285677 332003 409213 416731 484309 590261 596939 857031 996009 1227639 1250193 1452927 1754873 1770783 1774727 1790817 2162983 2513737 2559919 3155249 3666911 5264619 5324181 6488949 7541211 7679757 9465747 11000733 12284111 12423089 15140881 17596159 17919433 22086743 25668377 36852333 37269267 45422643 52788477 53758299 65664899 66260229 76313261 77005131 93008269 94060531 135675707 196994697 228939783 279024807 282181593 407027121 459654293 534192827 651057883 658423717 949729949 1378962879 1602578481 1953173649 1975271151 2823590657 2849189847 3480239647 4044602833 8470771971 10440718941 12133808499 19765134599 24361677529 28312219831 59295403797 73085032587 84936659493 149650304821 448950914463 1047552133747 3142656401241