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114030542043120 = 24352829716790729
BaseRepresentation
bin11001111011010111001101…
…111100111011011111110000
3112221202012202112111000210110
4121323113031330323133300
5104421234022230334440
61042304524031501320
733006302063563323
oct3173271574733760
9487665675430713
10114030542043120
113337409923890a
1210957a71987840
134b82059847851
1420231716a67ba
15d2b2e1bb7080
hex67b5cdf3b7f0

114030542043120 has 80 divisors (see below), whose sum is σ = 353507193689760. Its totient is φ = 30407068127232.

The previous prime is 114030542043049. The next prime is 114030542043193. The reversal of 114030542043120 is 21340245030411.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604085 + ... + 15186644.

It is an arithmetic number, because the mean of its divisors is an integer number (4418839921122).

Almost surely, 2114030542043120 is an apocalyptic number.

114030542043120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114030542043120 is an abundant number, since it is smaller than the sum of its proper divisors (239476651646640).

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

114030542043120 is a wasteful number, since it uses less digits than its factorization.

114030542043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16819042 (or 16819036 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114030542043120 its reverse (21340245030411), we get a palindrome (135370787073531).

The spelling of 114030542043120 in words is "one hundred fourteen trillion, thirty billion, five hundred forty-two million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 28297 56594 84891 113188 141485 169782 226376 282970 339564 424455 452752 565940 679128 848910 1131880 1358256 1697820 2263760 3395640 6791280 16790729 33581458 50372187 67162916 83953645 100744374 134325832 167907290 201488748 251860935 268651664 335814580 402977496 503721870 671629160 805954992 1007443740 1343258320 2014887480 4029774960 475127258513 950254517026 1425381775539 1900509034052 2375636292565 2850763551078 3801018068104 4751272585130 5701527102156 7126908877695 7602036136208 9502545170260 11403054204312 14253817755390 19005090340520 22806108408624 28507635510780 38010180681040 57015271021560 114030542043120