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114050510140 = 22573767328619
BaseRepresentation
bin110101000110111110…
…0001010110100111100
3101220101101011012201011
41222031330022310330
53332033412311030
6124221042125004
711145164224630
oct1521574126474
9356341135634
10114050510140
11444065a3356
121a12b350764
13a9a7724c78
14573d124dc0
152e779e8b2a
hex1a8df0ad3c

114050510140 has 96 divisors (see below), whose sum is σ = 285315770880. Its totient is φ = 37478225664.

The previous prime is 114050510137. The next prime is 114050510141. The reversal of 114050510140 is 41015050411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114050510141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182751 + ... + 511369.

It is an arithmetic number, because the mean of its divisors is an integer number (2972039280).

Almost surely, 2114050510140 is an apocalyptic number.

114050510140 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 114050510140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657885440).

114050510140 is an abundant number, since it is smaller than the sum of its proper divisors (171265260740).

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

114050510140 is a wasteful number, since it uses less digits than its factorization.

114050510140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328739 (or 328737 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 114050510140 its reverse (41015050411), we get a palindrome (155065560551).

The spelling of 114050510140 in words is "one hundred fourteen billion, fifty million, five hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 67 70 74 134 140 148 185 259 268 335 370 469 518 670 740 938 1036 1295 1340 1876 2345 2479 2590 4690 4958 5180 9380 9916 12395 17353 24790 34706 49580 69412 86765 173530 328619 347060 657238 1314476 1643095 2300333 3286190 4600666 6572380 9201332 11501665 12158903 22017473 23003330 24317806 44034946 46006660 48635612 60794515 85112321 88069892 110087365 121589030 154122311 170224642 220174730 243178060 308244622 340449284 425561605 440349460 616489244 770611555 814646501 851123210 1541223110 1629293002 1702246420 3082446220 3258586004 4073232505 5702525507 8146465010 11405051014 16292930020 22810102028 28512627535 57025255070 114050510140