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240103073232340 = 225234746912367427
BaseRepresentation
bin110110100101111101011010…
…011000111011010111010100
31011111010122000000000210100121
4312211331122120323113110
5222432322043221413330
62210353455030521324
7101400605661401023
oct6645753230732724
91144118000023317
10240103073232340
116a56016140245a
1222b19701506244
13a3c8812c7b446
14434109d38a8ba
151cb5972c0317a
hexda5f5a63b5d4

240103073232340 has 96 divisors (see below), whose sum is σ = 537448125763584. Its totient is φ = 89891733402240.

The previous prime is 240103073232311. The next prime is 240103073232361. The reversal of 240103073232340 is 43232370301042.

It is a happy number.

It is a super-4 number, since 4×2401030732323404 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 240103073232296 and 240103073232305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100235707 + ... + 102603133.

It is an arithmetic number, because the mean of its divisors is an integer number (5598417976704).

Almost surely, 2240103073232340 is an apocalyptic number.

240103073232340 is a gapful number since it is divisible by the number (20) 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 240103073232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268724062881792).

240103073232340 is an abundant number, since it is smaller than the sum of its proper divisors (297345052531244).

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

240103073232340 is a wasteful number, since it uses less digits than its factorization.

240103073232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372197 (or 2372195 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 34.

The spelling of 240103073232340 in words is "two hundred forty trillion, one hundred three billion, seventy-three million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 4691 5405 9382 10810 18764 21620 23455 46910 93820 107893 215786 220477 431572 440954 539465 881908 1078930 1102385 2157860 2204770 2367427 4409540 4734854 5070971 9469708 10141942 11837135 20283884 23674270 25354855 47348540 50709710 54450821 101419420 108901642 111269069 217803284 222538138 272254105 445076276 544508210 556345345 1089016420 1112690690 2225381380 2559188587 5118377174 10236754348 11105600057 12795942935 22211200114 25591885870 44422400228 51183771740 55528000285 111056000570 222112001140 255428801311 510857602622 521963202679 1021715205244 1043926405358 1277144006555 2087852810716 2554288013110 2609816013395 5108576026220 5219632026790 10439264053580 12005153661617 24010307323234 48020614646468 60025768308085 120051536616170 240103073232340