Search a number
-
+
1349845819840 = 2657602609741
BaseRepresentation
bin10011101001001001000…
…101001010000111000000
311210001012002001110102201
4103221021011022013000
5134103441012213330
62512035520322544
7166344303104320
oct23511105120700
94701162043381
101349845819840
11480514858421
12199738773454
139a39cc336ab
1449493623280
15251a4eb1eca
hex13a4914a1c0

1349845819840 has 56 divisors (see below), whose sum is σ = 3673508987232. Its totient is φ = 462804280320.

The previous prime is 1349845819837. The next prime is 1349845819841. The reversal of 1349845819840 is 489185489431.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349845819841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301302631 + ... + 301307110.

It is an arithmetic number, because the mean of its divisors is an integer number (65598374772).

Almost surely, 21349845819840 is an apocalyptic number.

1349845819840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349845819840 is an abundant number, since it is smaller than the sum of its proper divisors (2323663167392).

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

1349845819840 is an equidigital number, since it uses as much as digits as its factorization.

1349845819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602609765 (or 602609755 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 1349845819840 in words is "one trillion, three hundred forty-nine billion, eight hundred forty-five million, eight hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 602609741 1205219482 2410438964 3013048705 4218268187 4820877928 6026097410 8436536374 9641755856 12052194820 16873072748 19283511712 21091340935 24104389640 33746145496 38567023424 42182681870 48208779280 67492290992 84365363740 96417558560 134984581984 168730727480 192835117120 269969163968 337461454960 674922909920 1349845819840