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1230219695040 = 26357183068407
BaseRepresentation
bin10001111001101110110…
…011101101001111000000
311100121102010101200021220
4101321232303231033000
5130123442220220130
62341053301315040
7154610663605140
oct21715663551700
94317363350256
101230219695040
11434807a45276
1217a512105a80
138c01734176b
1443785c00920
1522002c5e410
hex11e6eced3c0

1230219695040 has 112 divisors (see below), whose sum is σ = 4463940060672. Its totient is φ = 281193071616.

The previous prime is 1230219694967. The next prime is 1230219695051. The reversal of 1230219695040 is 405969120321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1230219694983 and 1230219695001.

It is a congruent number.

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, 91527484 + ... + 91540923.

Almost surely, 21230219695040 is an apocalyptic number.

1230219695040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230219695040 is an abundant number, since it is smaller than the sum of its proper divisors (3233720365632).

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

1230219695040 is a wasteful number, since it uses less digits than its factorization.

1230219695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183068434 (or 183068424 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 1230219695040 in words is "one trillion, two hundred thirty billion, two hundred nineteen million, six hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 183068407 366136814 549205221 732273628 915342035 1098410442 1281478849 1464547256 1830684070 2196820884 2562957698 2746026105 2929094512 3661368140 3844436547 4393641768 5125915396 5492052210 5858189024 6407394245 7322736280 7688873094 8787283536 10251830792 10984104420 11716378048 12814788490 14645472560 15377746188 17574567072 19222182735 20503661584 21968208840 25629576980 29290945120 30755492376 35149134144 38444365470 41007323168 43936417680 51259153960 58581890240 61510984752 76888730940 82014646336 87872835360 102518307920 123021969504 153777461880 175745670720 205036615840 246043939008 307554923760 410073231680 615109847520 1230219695040