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1413373440 = 2935732521
BaseRepresentation
bin101010000111110…
…0101111000000000
310122111111210212110
41110033211320000
510343310422230
6352125255320
750011322163
oct12417457000
93574453773
101413373440
116658a3426
12335404540
13196a8195b
14d59d3ada
15841374b0
hex543e5e00

1413373440 has 160 divisors (see below), whose sum is σ = 4582090656. Its totient is φ = 371589120.

The previous prime is 1413373427. The next prime is 1413373447. The reversal of 1413373440 is 443733141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1413373398 and 1413373407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413373447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559380 + ... + 561900.

Almost surely, 21413373440 is an apocalyptic number.

1413373440 is a gapful number since it is divisible by the number (10) 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 1413373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291045328).

1413373440 is an abundant number, since it is smaller than the sum of its proper divisors (3168717216).

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

1413373440 is an equidigital number, since it uses as much as digits as its factorization.

1413373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1413373440 is about 37594.8592230374. The cubic root of 1413373440 is about 1122.2397357584.

The spelling of 1413373440 in words is "one billion, four hundred thirteen million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 512 584 640 730 768 876 960 1095 1168 1280 1460 1536 1752 1920 2190 2336 2521 2560 2920 3504 3840 4380 4672 5042 5840 7008 7563 7680 8760 9344 10084 11680 12605 14016 15126 17520 18688 20168 23360 25210 28032 30252 35040 37376 37815 40336 46720 50420 56064 60504 70080 75630 80672 93440 100840 112128 121008 140160 151260 161344 184033 186880 201680 242016 280320 302520 322688 368066 403360 484032 552099 560640 605040 645376 736132 806720 920165 968064 1104198 1210080 1290752 1472264 1613440 1840330 1936128 2208396 2420160 2760495 2944528 3226880 3680660 3872256 4416792 4840320 5520990 5889056 6453760 7361320 8833584 9680640 11041980 11778112 14722640 17667168 19361280 22083960 23556224 29445280 35334336 44167920 47112448 58890560 70668672 88335840 94224896 117781120 141337344 176671680 235562240 282674688 353343360 471124480 706686720 1413373440