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1140223214424 = 233747731978153
BaseRepresentation
bin10000100101111010100…
…110011000001101011000
311001000010010010202212010
4100211322212120031120
5122140134120330144
62231451124345520
7145243536260160
oct20457246301530
94030103122763
101140223214424
113aa625308368
12164b965452a0
13836a4182378
143d28957b5a0
151e9d6d7a5b9
hex1097a998358

1140223214424 has 128 divisors (see below), whose sum is σ = 3372673443840. Its totient is φ = 314478692352.

The previous prime is 1140223214411. The next prime is 1140223214443. The reversal of 1140223214424 is 4244123220411.

It is a super-2 number, since 2×11402232144242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140223214391 and 1140223214400.

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, 412669 + ... + 1565484.

It is an arithmetic number, because the mean of its divisors is an integer number (26349011280).

Almost surely, 21140223214424 is an apocalyptic number.

1140223214424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1140223214424 is an abundant number, since it is smaller than the sum of its proper divisors (2232450229416).

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

1140223214424 is a wasteful number, since it uses less digits than its factorization.

1140223214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978289 (or 1978285 counting only the distinct ones).

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

Adding to 1140223214424 its reverse (4244123220411), we get a palindrome (5384346434835).

The spelling of 1140223214424 in words is "one trillion, one hundred forty billion, two hundred twenty-three million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 73 84 94 141 146 168 188 219 282 292 329 376 438 511 564 584 658 876 987 1022 1128 1316 1533 1752 1974 2044 2632 3066 3431 3948 4088 6132 6862 7896 10293 12264 13724 20586 24017 27448 41172 48034 72051 82344 96068 144102 192136 288204 576408 1978153 3956306 5934459 7912612 11868918 13847071 15825224 23737836 27694142 41541213 47475672 55388284 83082426 92973191 110776568 144405169 166164852 185946382 278919573 288810338 332329704 371892764 433215507 557839146 577620676 650812337 743785528 866431014 1010836183 1115678292 1155241352 1301624674 1732862028 1952437011 2021672366 2231356584 2603249348 3032508549 3465724056 3904874022 4043344732 5206498696 6065017098 6787042943 7809748044 8086689464 12130034196 13574085886 15619496088 20361128829 24260068392 27148171772 40722257658 47509300601 54296343544 81444515316 95018601202 142527901803 162889030632 190037202404 285055803606 380074404808 570111607212 1140223214424