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31431100000244 = 22723937119343661
BaseRepresentation
bin1110010010110000111111…
…00011001110011111110100
311010021210011101211020222212
413021120133203032133310
513104431343100001434
6150503125322512552
76422551646602010
oct711303743163764
9133253141736885
1031431100000244
11a0189445a788a
123637683965758
13146cc2b28c019
147a93b813d540
153978dd3e88ce
hex1c961f8ce7f4

31431100000244 has 96 divisors (see below), whose sum is σ = 65721892271616. Its totient is φ = 12859964282880.

The previous prime is 31431100000199. The next prime is 31431100000247. The reversal of 31431100000244 is 44200000113413.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431100000247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719867774 + ... + 719911434.

It is an arithmetic number, because the mean of its divisors is an integer number (684603044496).

Almost surely, 231431100000244 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 31431100000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860946135808).

31431100000244 is an abundant number, since it is smaller than the sum of its proper divisors (34290792271372).

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

31431100000244 is a wasteful number, since it uses less digits than its factorization.

31431100000244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45825 (or 45823 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31431100000244 its reverse (44200000113413), we get a palindrome (75631100113657).

The spelling of 31431100000244 in words is "thirty-one trillion, four hundred thirty-one billion, one hundred million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 937 1193 1874 2386 3748 4772 6559 8351 13118 16702 21551 26236 27439 33404 43102 43661 54878 86204 87322 109756 150857 174644 192073 301714 305627 384146 603428 611254 768292 1004203 1117841 1222508 2008406 2235682 4016812 4471364 7029421 7824887 14058842 15649774 25710343 28117684 31299548 40910357 51420686 52087573 81820714 102841372 104175146 163641428 179972401 208350292 286372499 359944802 364613011 572744998 719889604 729226022 940938211 1145489996 1198014179 1458452044 1881876422 2396028358 3763752844 4792056716 6586567477 8386099253 13173134954 16772198506 26346269908 33544397012 48806055901 97612111802 195224223604 341642391307 683284782614 1122539285723 1366569565228 2245078571446 4490157142892 7857775000061 15715550000122 31431100000244