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114220525440 = 273578498551
BaseRepresentation
bin110101001100000010…
…0101110011110000000
3101220211020001212212010
41222120010232132000
53332410423303230
6124245554132520
711152330306230
oct1523004563600
9356736055763
10114220525440
114449356636a
121a178281140
13aa03a11238
14575793dcc0
152e878cd9b0
hex1a9812e780

114220525440 has 128 divisors (see below), whose sum is σ = 416089105920. Its totient is φ = 26107545600.

The previous prime is 114220525439. The next prime is 114220525453. The reversal of 114220525440 is 44525022411.

114220525440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114220525398 and 114220525407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4235836 + ... + 4262715.

It is an arithmetic number, because the mean of its divisors is an integer number (3250696140).

Almost surely, 2114220525440 is an apocalyptic number.

114220525440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114220525440 is an abundant number, since it is smaller than the sum of its proper divisors (301868580480).

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

114220525440 is an equidigital number, since it uses as much as digits as its factorization.

114220525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498580 (or 8498568 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 114220525440 its reverse (44525022411), we get a palindrome (158745547851).

The spelling of 114220525440 in words is "one hundred fourteen billion, two hundred twenty million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 8498551 16997102 25495653 33994204 42492755 50991306 59489857 67988408 84985510 101982612 118979714 127478265 135976816 169971020 178469571 203965224 237959428 254956530 271953632 297449285 339942040 356939142 407930448 475918856 509913060 543907264 594898570 679884080 713878284 815860896 892347855 951837712 1019826120 1087814528 1189797140 1359768160 1427756568 1631721792 1784695710 1903675424 2039652240 2379594280 2719536320 2855513136 3263443584 3569391420 3807350848 4079304480 4759188560 5439072640 5711026272 7138782840 7614701696 8158608960 9518377120 11422052544 14277565680 16317217920 19036754240 22844105088 28555131360 38073508480 57110262720 114220525440