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1800113789440 = 29516333113033
BaseRepresentation
bin11010001100011111001…
…001001001101000000000
320101002102000200021020101
4122030133021021220000
5213443113112230230
63454543313452144
7244024332514501
oct32143711115000
96332360607211
101800113789440
1163447333a34a
12250a5a571054
131009999a6335
14631a994cba8
1531c59a33aca
hex1a31f249a00

1800113789440 has 160 divisors (see below), whose sum is σ = 4355986574016. Its totient is φ = 713411297280.

The previous prime is 1800113789423. The next prime is 1800113789491. The reversal of 1800113789440 is 449873110081.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138113164 + ... + 138126196.

Almost surely, 21800113789440 is an apocalyptic number.

1800113789440 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 1800113789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177993287008).

1800113789440 is an abundant number, since it is smaller than the sum of its proper divisors (2555872784576).

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

1800113789440 is a wasteful number, since it uses less digits than its factorization.

1800113789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13550 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 1800113789440 in words is "one trillion, eight hundred billion, one hundred thirteen million, seven hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 256 320 326 331 512 640 652 662 815 1280 1304 1324 1630 1655 2560 2608 2648 3260 3310 5216 5296 6520 6620 10432 10592 13033 13040 13240 20864 21184 26066 26080 26480 41728 42368 52132 52160 52960 53953 65165 83456 84736 104264 104320 105920 107906 130330 169472 208528 208640 211840 215812 260660 269765 417056 417280 423680 431624 521320 539530 834112 847360 863248 1042640 1079060 1668224 1726496 2085280 2124379 2158120 3336448 3452992 4170560 4248758 4313923 4316240 6672896 6905984 8341120 8497516 8627846 8632480 10621895 13811968 16682240 16995032 17255692 17264960 21243790 21569615 27623936 33364480 33990064 34511384 34529920 42487580 43139230 67980128 69022768 69059840 84975160 86278460 135960256 138045536 138119680 169950320 172556920 271920512 276091072 339900640 345113840 543841024 552182144 679801280 690227680 703169449 1087682048 1104364288 1359602560 1380455360 1406338898 2208728576 2719205120 2760910720 2812677796 3515847245 5438410240 5521821440 5625355592 7031694490 11043642880 11250711184 14063388980 22501422368 28126777960 45002844736 56253555920 90005689472 112507111840 180011378944 225014223680 360022757888 450028447360 900056894720 1800113789440