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114350040 = 23325745377
BaseRepresentation
bin1101101000011…
…01011111011000
321222011120202200
412310031133120
5213233200130
615202530200
72555650020
oct664153730
9258146680
10114350040
1159602972
1232366960
131a8c935c
1411288a80
15a08b760
hex6d0d7d8

114350040 has 96 divisors (see below), whose sum is σ = 424738080. Its totient is φ = 26136576.

The previous prime is 114350023. The next prime is 114350053. The reversal of 114350040 is 40053411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114349995 and 114350022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20169 + ... + 25208.

It is an arithmetic number, because the mean of its divisors is an integer number (4424355).

Almost surely, 2114350040 is an apocalyptic number.

114350040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114350040 is an abundant number, since it is smaller than the sum of its proper divisors (310388040).

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

114350040 is a wasteful number, since it uses less digits than its factorization.

114350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45401 (or 45394 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114350040 is about 10693.4578130743. The cubic root of 114350040 is about 485.3765312118.

The spelling of 114350040 in words is "one hundred fourteen million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 45377 90754 136131 181508 226885 272262 317639 363016 408393 453770 544524 635278 680655 816786 907540 952917 1089048 1270556 1361310 1588195 1633572 1815080 1905834 2041965 2541112 2722620 2858751 3176390 3267144 3811668 4083930 4764585 5445240 5717502 6352780 7623336 8167860 9529170 11435004 12705560 14293755 16335720 19058340 22870008 28587510 38116680 57175020 114350040