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40114440442024 = 23134367971380233
BaseRepresentation
bin10010001111011110111101…
…11110010001000010101000
312021000220101022210211000021
421013233132332101002220
520224213333223121044
6221152153004050224
711310113141541214
oct1107573676210250
9167026338724007
1040114440442024
1111866490936a83
1245ba544b33974
13194ca10a17450
149c9799303944
15498706a8ae84
hex247bdef910a8

40114440442024 has 128 divisors (see below), whose sum is σ = 84988405434240. Its totient is φ = 17630222303232.

The previous prime is 40114440441961. The next prime is 40114440442039. The reversal of 40114440442024 is 42024404441104.

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, 28373412 + ... + 29753644.

It is an arithmetic number, because the mean of its divisors is an integer number (663971917455).

Almost surely, 240114440442024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40114440442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42494202717120).

40114440442024 is an abundant number, since it is smaller than the sum of its proper divisors (44873964992216).

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

40114440442024 is a wasteful number, since it uses less digits than its factorization.

40114440442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380459 (or 1380455 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 40114440442024 its reverse (42024404441104), we get a palindrome (82138844883128).

The spelling of 40114440442024 in words is "forty trillion, one hundred fourteen billion, four hundred forty million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 43 52 67 86 97 104 134 172 194 268 344 388 536 559 776 871 1118 1261 1742 2236 2522 2881 3484 4171 4472 5044 5762 6499 6968 8342 10088 11524 12998 16684 23048 25996 33368 37453 51992 54223 74906 84487 108446 149812 168974 216892 279457 299624 337948 433784 558914 675896 1117828 1380233 2235656 2760466 3632941 5520932 7265882 11041864 14531764 17943029 29063528 35886058 59350019 71772116 92475611 118700038 133882601 143544232 184951222 237400076 267765202 369902444 474800152 535530404 739804888 771550247 1071060808 1202182943 1543100494 1740473813 2404365886 3086200988 3480947626 3976451273 4808731772 5756951843 6172401976 6961895252 7952902546 8970134267 9617463544 11513903686 13923790504 15905805092 17940268534 23027807372 31811610184 35880537068 46055614744 51693866549 71761074136 74840373959 103387733098 116611745471 149680747918 206775466196 233223490942 299361495836 385715773481 413550932392 466446981884 598722991672 771431546962 932893963768 1542863093924 3085726187848 5014305055253 10028610110506 20057220221012 40114440442024