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10014331242140 = 2252334972298629
BaseRepresentation
bin1001000110111010010010…
…1010000000011010011100
31022110100201221222210012022
42101232210222000122130
52303033322244222030
633144304213155312
72052340315033331
oct221564452003234
938410657883168
1010014331242140
113211065a05395
121158a1732bb38
13578469283664
142689a65cc988
151257681a6de5
hex91ba4a8069c

10014331242140 has 96 divisors (see below), whose sum is σ = 22012920720000. Its totient is φ = 3819620293632.

The previous prime is 10014331242127. The next prime is 10014331242193. The reversal of 10014331242140 is 4124213341001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160539346 + ... + 1160547974.

It is an arithmetic number, because the mean of its divisors is an integer number (229301257500).

Almost surely, 210014331242140 is an apocalyptic number.

10014331242140 is a gapful number since it is divisible by the number (10) 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 10014331242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006460360000).

10014331242140 is an abundant number, since it is smaller than the sum of its proper divisors (11998589477860).

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

10014331242140 is a wasteful number, since it uses less digits than its factorization.

10014331242140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16239 (or 16237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10014331242140 its reverse (4124213341001), we get a palindrome (14138544583141).

The spelling of 10014331242140 in words is "ten trillion, fourteen billion, three hundred thirty-one million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 349 460 698 1396 1745 3490 6980 7229 8027 8629 14458 16054 17258 28916 32108 34516 36145 40135 43145 72290 80270 86290 144580 160540 166267 172580 198467 332534 396934 665068 793868 831335 992335 1662670 1984670 2522921 3011521 3325340 3969340 5045842 6023042 10091684 12046084 12614605 15057605 25229210 30115210 50458420 58027183 60230420 62379041 69264983 116054366 124758082 138529966 232108732 249516164 277059932 290135915 311895205 346324915 580271830 623790410 692649830 1160543660 1247580820 1385299660 1434717943 2869435886 5738871772 7173589715 14347179430 21770285309 28694358860 43540570618 87081141236 108851426545 217702853090 435405706180 500716562107 1001433124214 2002866248428 2503582810535 5007165621070 10014331242140