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31421401433400 = 23352114760818399
BaseRepresentation
bin1110010010011110111010…
…11110001000010100111000
311010020212010111021000102110
413021033131132020110320
513104302012231332100
6150454443104532320
76422056422255636
oct711173536102470
9133225114230373
1031421401433400
11a014817a55a90
1236358179210a0
13146c043b81a84
147a8b38044356
15397521c2e250
hex1c93dd788538

31421401433400 has 96 divisors (see below), whose sum is σ = 106261466688000. Its totient is φ = 7617309436800.

The previous prime is 31421401433369. The next prime is 31421401433431. The reversal of 31421401433400 is 433410412413.

It is an interprime number because it is at equal distance from previous prime (31421401433369) and next prime (31421401433431).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380402600 + ... + 2380415799.

It is an arithmetic number, because the mean of its divisors is an integer number (1106890278000).

Almost surely, 231421401433400 is an apocalyptic number.

31421401433400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31421401433400 is an abundant number, since it is smaller than the sum of its proper divisors (74840065254600).

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

31421401433400 is a wasteful number, since it uses less digits than its factorization.

31421401433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760818429 (or 4760818420 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 31421401433400 its reverse (433410412413), we get a palindrome (31854811845813).

The spelling of 31421401433400 in words is "thirty-one trillion, four hundred twenty-one billion, four hundred one million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 4760818399 9521636798 14282455197 19043273596 23804091995 28564910394 38086547192 47608183990 52369002389 57129820788 71412275985 95216367980 104738004778 114259641576 119020459975 142824551970 157107007167 190432735960 209476009556 238040919950 261845011945 285649103940 314214014334 357061379925 418952019112 476081839900 523690023890 571298207880 628428028668 714122759850 785535035835 952163679800 1047380047780 1256856057336 1309225059725 1428245519700 1571070071670 2094760095560 2618450119450 2856491039400 3142140143340 3927675179175 5236900238900 6284280286680 7855350358350 10473800477800 15710700716700 31421401433400