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1445331434624 = 277111011451929
BaseRepresentation
bin10101000010000100011…
…101110111110010000000
312010011122122002021100222
4111002010131313302000
5142140014321401444
63023550500402212
7206264442330020
oct25020435676200
95104578067328
101445331434624
11507a63a08050
121b41466a6368
13a63a93a0a7c
144dd50cb1a80
15278e2c1aeee
hex15084777c80

1445331434624 has 128 divisors (see below), whose sum is σ = 3625411132800. Its totient is φ = 557540352000.

The previous prime is 1445331434609. The next prime is 1445331434663. The reversal of 1445331434624 is 4264341335441.

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

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269492 + ... + 1721420.

It is an arithmetic number, because the mean of its divisors is an integer number (28323524475).

Almost surely, 21445331434624 is an apocalyptic number.

1445331434624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445331434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812705566400).

1445331434624 is an abundant number, since it is smaller than the sum of its proper divisors (2180079698176).

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

1445331434624 is a wasteful number, since it uses less digits than its factorization.

1445331434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452062 (or 1452050 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 44.

The spelling of 1445331434624 in words is "one trillion, four hundred forty-five billion, three hundred thirty-one million, four hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 128 154 176 202 224 308 352 404 448 616 704 707 808 896 1111 1232 1408 1414 1616 2222 2464 2828 3232 4444 4928 5656 6464 7777 8888 9856 11312 12928 15554 17776 22624 31108 35552 45248 62216 71104 90496 124432 142208 248864 497728 995456 1451929 2903858 5807716 10163503 11615432 15971219 20327006 23230864 31942438 40654012 46461728 63884876 81308024 92923456 111798533 127769752 146644829 162616048 185846912 223597066 255539504 293289658 325232096 447194132 511079008 586579316 650464192 894388264 1022158016 1026513803 1173158632 1300928384 1613093119 1788776528 2044316032 2053027606 2346317264 3226186238 3577553056 4106055212 4692634528 6452372476 7155106112 8212110424 9385269056 11291651833 12904744952 14310212224 16424220848 18770538112 22583303666 25809489904 32848441696 45166607332 51618979808 65696883392 90333214664 103237959616 131393766784 180666429328 206475919232 361332858656 722665717312 1445331434624