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1242916192420 = 2257211319158763
BaseRepresentation
bin10010000101100011100…
…101000000000010100100
311101211011222002120102121
4102011203211000002210
5130330443021124140
62350553211315324
7155540423214400
oct22054345000244
94354158076377
101242916192420
1143a132873711
12180a7614bb44
139028b88a2c6
144422c124100
15224e770e64a
hex121639400a4

1242916192420 has 144 divisors (see below), whose sum is σ = 3079226078208. Its totient is φ = 420153000960.

The previous prime is 1242916192411. The next prime is 1242916192489. The reversal of 1242916192420 is 242916192421.

It is a super-2 number, since 2×12429161924202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21121959 + ... + 21180721.

It is an arithmetic number, because the mean of its divisors is an integer number (21383514432).

Almost surely, 21242916192420 is an apocalyptic number.

1242916192420 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 1242916192420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539613039104).

1242916192420 is an abundant number, since it is smaller than the sum of its proper divisors (1836309885788).

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

1242916192420 is a wasteful number, since it uses less digits than its factorization.

1242916192420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59090 (or 59081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

Subtracting from 1242916192420 its reverse (242916192421), we obtain a palindrome (999999999999).

The spelling of 1242916192420 in words is "one trillion, two hundred forty-two billion, nine hundred sixteen million, one hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 191 196 226 245 382 452 490 565 764 791 955 980 1130 1337 1582 1910 2260 2674 3164 3820 3955 5348 5537 6685 7910 9359 11074 13370 15820 18718 21583 22148 26740 27685 37436 43166 46795 55370 58763 86332 93590 107915 110740 117526 151081 187180 215830 235052 293815 302162 411341 431660 587630 604324 755405 822682 1057567 1175260 1510810 1645364 2056705 2115134 2879387 3021620 4113410 4230268 5287835 5758774 6640219 8226820 10575670 11223733 11517548 13280438 14396935 21151340 22447466 26560876 28793870 33201095 44894932 46481533 56118665 57587740 66402190 78566131 92963066 112237330 132804380 157132262 185926132 224474660 232407665 314264524 325370731 392830655 464815330 549962917 650741462 785661310 929630660 1099925834 1268281829 1301482924 1571322620 1626853655 2199851668 2536563658 2749814585 3253707310 5073127316 5499629170 6341409145 6507414620 8877972803 10999258340 12682818290 17755945606 25365636580 35511891212 44389864015 62145809621 88779728030 124291619242 177559456060 248583238484 310729048105 621458096210 1242916192420