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114746085102 = 231147167359617
BaseRepresentation
bin110101011011101100…
…1100100111011101110
3101222011212000002011210
41222313121210323232
53334444444210402
6124414050455250
711201341426155
oct1526731447356
9358155002153
10114746085102
11447331a00a0
121a2a4294526
13aa8887519c
1457a766a59c
152eb8ae506c
hex1ab7664eee

114746085102 has 128 divisors (see below), whose sum is σ = 258347335680. Its totient is φ = 33679036160.

The previous prime is 114746085079. The next prime is 114746085109. The reversal of 114746085102 is 201580647411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114746085109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 185973898 + ... + 185974514.

It is an arithmetic number, because the mean of its divisors is an integer number (2018338560).

Almost surely, 2114746085102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114746085102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129173667840).

114746085102 is an abundant number, since it is smaller than the sum of its proper divisors (143601250578).

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

114746085102 is a wasteful number, since it uses less digits than its factorization.

114746085102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 114746085102 in words is "one hundred fourteen billion, seven hundred forty-six million, eighty-five thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 167 282 334 359 501 517 617 718 1002 1034 1077 1234 1551 1837 1851 2154 3102 3674 3702 3949 5511 6787 7849 7898 11022 11847 13574 15698 16873 20361 23547 23694 28999 33746 40722 47094 50619 57998 59953 86339 86997 101238 103039 119906 172678 173994 179859 185603 206078 221503 259017 309117 318989 359718 371206 443006 518034 556809 618234 637978 659483 664509 956967 1113618 1133429 1318966 1329018 1913934 1978449 2266858 2436533 2817791 3400287 3956898 4842833 4873066 5635582 6800574 7309599 8453373 9685666 10410641 14528499 14619198 16906746 20821282 29056998 30995701 31231923 36991001 53271163 61991402 62463846 73982002 92987103 106542326 110973003 114517051 159813489 185974206 221946006 229034102 319626978 343551153 406901011 687102306 813802022 1220703033 1738577047 2441406066 3477154094 5215731141 10431462282 19124347517 38248695034 57373042551 114746085102