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45114847120 = 2457109739103
BaseRepresentation
bin101010000001000011…
…011110111110010000
311022110010112200200201
4222001003132332100
51214343400101440
632420411424544
73154662605350
oct520103367620
9138403480621
1045114847120
1118151178422
1288b0a55154
13433c952815
14227da06b60
151290a7719a
hexa810def90

45114847120 has 80 divisors (see below), whose sum is σ = 120976542720. Its totient is φ = 15326019072.

The previous prime is 45114847081. The next prime is 45114847121. The reversal of 45114847120 is 2174841154.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45114847120.

It is not an unprimeable number, because it can be changed into a prime (45114847121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308512 + ... + 430591.

It is an arithmetic number, because the mean of its divisors is an integer number (1512206784).

Almost surely, 245114847120 is an apocalyptic number.

45114847120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45114847120 is an abundant number, since it is smaller than the sum of its proper divisors (75861695600).

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

45114847120 is a wasteful number, since it uses less digits than its factorization.

45114847120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739232 (or 739226 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 45114847120 in words is "forty-five billion, one hundred fourteen million, eight hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 280 436 545 560 763 872 1090 1526 1744 2180 3052 3815 4360 6104 7630 8720 12208 15260 30520 61040 739103 1478206 2956412 3695515 5173721 5912824 7391030 10347442 11825648 14782060 20694884 25868605 29564120 41389768 51737210 59128240 80562227 82779536 103474420 161124454 206948840 322248908 402811135 413897680 563935589 644497816 805622270 1127871178 1288995632 1611244540 2255742356 2819677945 3222489080 4511484712 5639355890 6444978160 9022969424 11278711780 22557423560 45114847120