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400140240104040 = 233533720274881433
BaseRepresentation
bin101101011111011001110100…
…0110111110010101001101000
31221110210000220022202112201020
41122332303220313302221220
5404421344202431312130
63535005515535052440
7150166115112066402
oct13276635067625150
91843700808675636
10400140240104040
111065515829a4527
1238a65a38971120
13142370a7a99037
1470b4c68ad7b72
15313d874e7be10
hex16bece8df2a68

400140240104040 has 128 divisors (see below), whose sum is σ = 1204577019135360. Its totient is φ = 106334927806464.

The previous prime is 400140240104023. The next prime is 400140240104117. The reversal of 400140240104040 is 40401042041004.

It is a happy number.

It is a super-2 number, since 2×4001402401040402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 400140240104040.

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, 79531164 + ... + 84412596.

It is an arithmetic number, because the mean of its divisors is an integer number (9410757961995).

Almost surely, 2400140240104040 is an apocalyptic number.

400140240104040 is a gapful number since it is divisible by the number (40) 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 400140240104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602288509567680).

400140240104040 is an abundant number, since it is smaller than the sum of its proper divisors (804436779031320).

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

400140240104040 is a wasteful number, since it uses less digits than its factorization.

400140240104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883811 (or 4883807 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 400140240104040 its reverse (40401042041004), we get a palindrome (440541282145044).

The spelling of 400140240104040 in words is "four hundred trillion, one hundred forty billion, two hundred forty million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2027 2696 3370 4044 4054 5055 6081 6740 8088 8108 10110 10135 12162 13480 16216 20220 20270 24324 30405 40440 40540 48648 60810 81080 121620 243240 683099 1366198 2049297 2732396 3415495 4098594 4881433 5464792 6830990 8197188 9762866 10246485 13661980 14644299 16394376 19525732 20492970 24407165 27323960 29288598 39051464 40985940 48814330 58577196 73221495 81971880 97628660 117154392 146442990 195257320 292885980 585771960 1645042921 3290085842 4935128763 6580171684 8225214605 9870257526 9894664691 13160343368 16450429210 19740515052 19789329382 24675643815 29683994073 32900858420 39481030104 39578658764 49351287630 49473323455 59367988146 65801716840 79157317528 98702575260 98946646910 118735976292 148419970365 197405150520 197893293820 237471952584 296839940730 395786587640 593679881460 1187359762920 3334502000867 6669004001734 10003506002601 13338008003468 16672510004335 20007012005202 26676016006936 33345020008670 40014024010404 50017530013005 66690040017340 80028048020808 100035060026010 133380080034680 200070120052020 400140240104040