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1141200344424 = 233737473906187
BaseRepresentation
bin10000100110110100110…
…101110101010101101000
311001002122012210010020010
4100212310311311111220
5122144134242010144
62232132111531520
7145310002606530
oct20466465652550
94032565703203
101141200344424
113aaa86930618
12165209829ba0
13837cb7429ba
143d33d2544c0
151ea42a405b9
hex109b4d75568

1141200344424 has 128 divisors (see below), whose sum is σ = 3419945717760. Its totient is φ = 310494912768.

The previous prime is 1141200344413. The next prime is 1141200344443. The reversal of 1141200344424 is 4244430021411.

It is a happy number.

It is a super-2 number, since 2×11412003444242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141200344391 and 1141200344400.

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, 1660942 + ... + 2245245.

It is an arithmetic number, because the mean of its divisors is an integer number (26718325920).

Almost surely, 21141200344424 is an apocalyptic number.

1141200344424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1141200344424 is an abundant number, since it is smaller than the sum of its proper divisors (2278745373336).

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

1141200344424 is a wasteful number, since it uses less digits than its factorization.

1141200344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906287 (or 3906283 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1141200344424 its reverse (4244430021411), we get a palindrome (5385630365835).

The spelling of 1141200344424 in words is "one trillion, one hundred forty-one billion, two hundred million, three hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 47 56 74 84 94 111 141 148 168 188 222 259 282 296 329 376 444 518 564 658 777 888 987 1036 1128 1316 1554 1739 1974 2072 2632 3108 3478 3948 5217 6216 6956 7896 10434 12173 13912 20868 24346 36519 41736 48692 73038 97384 146076 292152 3906187 7812374 11718561 15624748 23437122 27343309 31249496 46874244 54686618 82029927 93748488 109373236 144528919 164059854 183590789 218746472 289057838 328119708 367181578 433586757 550772367 578115676 656239416 734363156 867173514 1011702433 1101544734 1156231352 1285135523 1468726312 1734347028 2023404866 2203089468 2570271046 3035107299 3468694056 3855406569 4046809732 4406178936 5140542092 6070214598 6792859193 7710813138 8093619464 10281084184 12140429196 13585718386 15421626276 20378577579 24280858392 27171436772 30843252552 40757155158 47550014351 54342873544 81514310316 95100028702 142650043053 163028620632 190200057404 285300086106 380400114808 570600172212 1141200344424