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1453321440 = 25345112139
BaseRepresentation
bin101011010011111…
…1110110011100000
310202021200101020000
41112213332303200
510434022241230
6400113420000
751005012514
oct12647766340
93667611200
101453321440
116863a89aa
1234686a600
131a212a91c
14db032144
15878c8b60
hex569fece0

1453321440 has 120 divisors (see below), whose sum is σ = 5129059320. Its totient is φ = 387548928.

The previous prime is 1453321433. The next prime is 1453321469. The reversal of 1453321440 is 441233541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14533214402 = 4224286415927347200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43110 + ... + 69029.

It is an arithmetic number, because the mean of its divisors is an integer number (42742161).

Almost surely, 21453321440 is an apocalyptic number.

1453321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1453321440 is an abundant number, since it is smaller than the sum of its proper divisors (3675737880).

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

1453321440 is a wasteful number, since it uses less digits than its factorization.

1453321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112166 (or 112149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1453321440 is about 38122.4532264124. The cubic root of 1453321440 is about 1132.7147612536.

Adding to 1453321440 its reverse (441233541), we get a palindrome (1894554981).

The spelling of 1453321440 in words is "one billion, four hundred fifty-three million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 112139 224278 336417 448556 560695 672834 897112 1009251 1121390 1345668 1682085 1794224 2018502 2242780 2691336 3027753 3364170 3588448 4037004 4485560 5046255 5382672 6055506 6728340 8074008 8971120 9083259 10092510 10765344 12111012 13456680 15138765 16148016 17942240 18166518 20185020 24222024 26913360 30277530 32296032 36333036 40370040 45416295 48444048 53826720 60555060 72666072 80740080 90832590 96888096 121110120 145332144 161480160 181665180 242220240 290664288 363330360 484440480 726660720 1453321440