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2145243414105 = 3251117318223577
BaseRepresentation
bin11111001101111010011…
…110001011111001011001
321121002020200221202122200
4133031322132023321121
5240121424303222410
64321302231240413
7310663063103661
oct37157236137131
97532220852580
102145243414105
11757879a87610
122a7919819109
131273ac52ca5c
1475b8a6231a1
153ac091d83c0
hex1f37a78be59

2145243414105 has 96 divisors (see below), whose sum is σ = 4433626948608. Its totient is φ = 947355955200.

The previous prime is 2145243414091. The next prime is 2145243414107. The reversal of 2145243414105 is 5014143425412.

2145243414105 is a `hidden beast` number, since 2 + 14 + 524 + 3 + 4 + 14 + 105 = 666.

It is not a de Polignac number, because 2145243414105 - 219 = 2145242889817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2145243414105.

It is not an unprimeable number, because it can be changed into a prime (2145243414107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3850924 + ... + 4372653.

It is an arithmetic number, because the mean of its divisors is an integer number (46183614048).

Almost surely, 22145243414105 is an apocalyptic number.

It is an amenable number.

2145243414105 is an abundant number, since it is smaller than the sum of its proper divisors (2288383534503).

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

2145243414105 is a wasteful number, since it uses less digits than its factorization.

2145243414105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8223647 (or 8223644 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2145243414105 its reverse (5014143425412), we get a palindrome (7159386839517).

The spelling of 2145243414105 in words is "two trillion, one hundred forty-five billion, two hundred forty-three million, four hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 11 15 17 31 33 45 51 55 85 93 99 153 155 165 187 255 279 341 465 495 527 561 765 935 1023 1395 1581 1683 1705 2635 2805 3069 4743 5115 5797 7905 8415 15345 17391 23715 28985 52173 86955 260865 8223577 24670731 41117885 74012193 90459347 123353655 139800809 254930887 271378041 370060965 419402427 452296735 699004045 764792661 814134123 1258207281 1274654435 1356890205 1537808899 2097012135 2294377983 2804239757 3823963305 4070670615 4333825079 4613426697 6291036405 7689044495 8412719271 11471889915 13001475237 13840280091 14021198785 21669125395 23067133485 25238157813 39004425711 42063596355 47672075869 65007376185 69201400455 126190789065 143016227607 195022128555 238360379345 429048682821 715081138035 2145243414105