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114032101340 = 225731036171229
BaseRepresentation
bin110101000110011010…
…1111100011111011100
3101220100002111221120202
41222030311330133130
53332014204220330
6124215143403032
711144551603643
oct1521465743734
9356302457522
10114032101340
11443a716a573
121a125153478
13a9a397aba1
14573a8d235a
152e760ae445
hex1a8cd7c7dc

114032101340 has 96 divisors (see below), whose sum is σ = 245701572480. Its totient is φ = 44442832896.

The previous prime is 114032101321. The next prime is 114032101349. The reversal of 114032101340 is 43101230411.

114032101340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114032101349) 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, 92783846 + ... + 92785074.

It is an arithmetic number, because the mean of its divisors is an integer number (2559391380).

Almost surely, 2114032101340 is an apocalyptic number.

114032101340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114032101340 is an abundant number, since it is smaller than the sum of its proper divisors (131669471140).

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

114032101340 is a wasteful number, since it uses less digits than its factorization.

114032101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114032101340 its reverse (43101230411), we get a palindrome (157133331751).

The spelling of 114032101340 in words is "one hundred fourteen billion, thirty-two million, one hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 103 146 206 292 365 412 515 617 730 1030 1229 1234 1460 2060 2458 2468 3085 4916 6145 6170 7519 12290 12340 15038 24580 30076 37595 45041 63551 75190 89717 90082 126587 127102 150380 179434 180164 225205 253174 254204 317755 358868 448585 450410 506348 632935 635510 758293 897170 900820 1265870 1271020 1516586 1794340 2531740 3033172 3791465 4639223 7582930 9240851 9278446 15165860 18481702 18556892 23196115 36963404 46204255 46392230 55355389 78104179 92408510 92784460 110710778 156208358 184817020 221421556 276776945 312416716 390520895 553553890 781041790 1107107780 1562083580 5701605067 11403210134 22806420268 28508025335 57016050670 114032101340