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114380446740 = 223572271199711
BaseRepresentation
bin110101010000110011…
…0110001110000010100
3101221020100222201122020
41222201212301300110
53333222343243430
6124313505533140
711156311520130
oct1524146616024
9357210881566
10114380446740
114456586462a
121a2019441b0
13aa2aba4c21
145770c8c3c0
152e9696cb10
hex1aa19b1c14

114380446740 has 96 divisors (see below), whose sum is σ = 367630147584. Its totient is φ = 26028908160.

The previous prime is 114380446729. The next prime is 114380446777. The reversal of 114380446740 is 47644083411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114380446692 and 114380446701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504516 + ... + 695195.

It is an arithmetic number, because the mean of its divisors is an integer number (3829480704).

Almost surely, 2114380446740 is an apocalyptic number.

114380446740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114380446740 is an abundant number, since it is smaller than the sum of its proper divisors (253249700844).

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

114380446740 is a wasteful number, since it uses less digits than its factorization.

114380446740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199957 (or 1199955 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 114380446740 in words is "one hundred fourteen billion, three hundred eighty million, four hundred forty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 227 420 454 681 908 1135 1362 1589 2270 2724 3178 3405 4540 4767 6356 6810 7945 9534 13620 15890 19068 23835 31780 47670 95340 1199711 2399422 3599133 4798844 5998555 7198266 8397977 11997110 14396532 16795954 17995665 23994220 25193931 33591908 35991330 41989885 50387862 71982660 83979770 100775724 125969655 167959540 251939310 272334397 503878620 544668794 817003191 1089337588 1361671985 1634006382 1906340779 2723343970 3268012764 3812681558 4085015955 5446687940 5719022337 7625363116 8170031910 9531703895 11438044674 16340063820 19063407790 22876089348 28595111685 38126815580 57190223370 114380446740