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245123142132 = 2231123793831163
BaseRepresentation
bin1110010001001001111…
…0100101000111110100
3212102201001102210210210
43210102132211013310
513004003011022012
6304335155345420
723465244221151
oct3442236450764
9772631383723
10245123142132
1194a57694800
123b60b2b2270
131a1658b748b
14bc14c47228
156599ad923c
hex39127a51f4

245123142132 has 144 divisors (see below), whose sum is σ = 632524677120. Its totient is φ = 73826786880.

The previous prime is 245123142101. The next prime is 245123142151. The reversal of 245123142132 is 231241321542.

It is a happy number.

245123142132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 245123142132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210767383 + ... + 210768545.

It is an arithmetic number, because the mean of its divisors is an integer number (4392532480).

Almost surely, 2245123142132 is an apocalyptic number.

245123142132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245123142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316262338560).

245123142132 is an abundant number, since it is smaller than the sum of its proper divisors (387401534988).

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

245123142132 is a wasteful number, since it uses less digits than its factorization.

245123142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1941 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 245123142132 its reverse (231241321542), we get a palindrome (476364463674).

The spelling of 245123142132 in words is "two hundred forty-five billion, one hundred twenty-three million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 379 383 484 726 758 766 1137 1149 1163 1452 1516 1532 2274 2298 2326 3489 4169 4213 4548 4596 4652 6978 8338 8426 12507 12639 12793 13956 16676 16852 25014 25278 25586 38379 45859 46343 50028 50556 51172 76758 91718 92686 137577 139029 140723 145157 153516 183436 185372 275154 278058 281446 290314 422169 435471 440777 445429 550308 556116 562892 580628 844338 870942 881554 890858 1322331 1336287 1596727 1688676 1741884 1763108 1781716 2644662 2672574 3193454 4790181 4848547 4899719 5289324 5345148 6386908 9580362 9697094 9799438 14545641 14699157 17563997 19160724 19394188 19598876 29091282 29398314 35127994 52691991 53334017 53896909 58182564 58796628 70255988 105383982 106668034 107793818 160002051 161690727 168817591 210767964 213336068 215587636 320004102 323381454 337635182 506452773 640008204 646762908 675270364 1012905546 1856993501 2025811092 3713987002 5570980503 7427974004 11141961006 20426928511 22283922012 40853857022 61280785533 81707714044 122561571066 245123142132