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1226130431274 = 2327271142713721
BaseRepresentation
bin10001110101111011000…
…100011001110100101010
311100012212010201112222100
4101311323010121310222
5130042103342300044
62335135422234230
7154404440463300
oct21657304316452
94305763645870
101226130431274
11432aa9732941
12179770725976
138b815098268
14434b8a92270
1521d63c55869
hex11d7b119d2a

1226130431274 has 144 divisors (see below), whose sum is σ = 3136299880896. Its totient is φ = 345121660800.

The previous prime is 1226130431261. The next prime is 1226130431341. The reversal of 1226130431274 is 4721340316221.

1226130431274 is a `hidden beast` number, since 1 + 2 + 2 + 613 + 0 + 4 + 31 + 2 + 7 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89354734 + ... + 89368454.

It is an arithmetic number, because the mean of its divisors is an integer number (21779860284).

Almost surely, 21226130431274 is an apocalyptic number.

1226130431274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226130431274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568149940448).

1226130431274 is an abundant number, since it is smaller than the sum of its proper divisors (1910169449622).

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

1226130431274 is a wasteful number, since it uses less digits than its factorization.

1226130431274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241 (or 15231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 1226130431274 its reverse (4721340316221), we get a palindrome (5947470747495).

The spelling of 1226130431274 in words is "one trillion, two hundred twenty-six billion, one hundred thirty million, four hundred thirty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 71 98 126 142 147 213 294 426 441 497 639 882 994 1278 1427 1491 2854 2982 3479 4281 4473 6958 8562 8946 9989 10437 12843 13721 19978 20874 25686 27442 29967 31311 41163 59934 62622 69923 82326 89901 96047 101317 123489 139846 179802 192094 202634 209769 246978 288141 303951 419538 576282 607902 629307 672329 709219 864423 911853 974191 1258614 1344658 1418438 1728846 1823706 1948382 2016987 2127657 2922573 4033974 4255314 4964533 5845146 6050961 6382971 6819337 8767719 9929066 12101922 12765942 13638674 14893599 17535438 19579867 20458011 29787198 39159734 40916022 44680797 47735359 58739601 61374033 89361594 95470718 117479202 122748066 137059069 143206077 176218803 274118138 286412154 352437606 411177207 429618231 822354414 859236462 959413483 1233531621 1390170557 1918826966 2467063242 2780341114 2878240449 4170511671 5756480898 8341023342 8634721347 9731193899 12511535013 17269442694 19462387798 25023070026 29193581697 58387163394 68118357293 87580745091 136236714586 175161490182 204355071879 408710143758 613065215637 1226130431274