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31150421201040 = 2435613316428281
BaseRepresentation
bin1110001010100110001011…
…10010100101000010010000
311002021221200102010221001020
413011103011302211002100
513040332030311413130
6150130150030035440
76363354322301661
oct705230562450220
9132257612127036
1031150421201040
119a1a901750729
1235b11b1048b80
13144c61a30c80b
1479998d0a7368
153904620bee10
hex1c54c5ca5090

31150421201040 has 160 divisors (see below), whose sum is σ = 98445898975872. Its totient is φ = 8145916416000.

The previous prime is 31150421200891. The next prime is 31150421201047. The reversal of 31150421201040 is 4010212405113.

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 31150421201040.

It is not an unprimeable number, because it can be changed into a prime (31150421201047) 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, 1631700 + ... + 8059980.

Almost surely, 231150421201040 is an apocalyptic number.

31150421201040 is a gapful number since it is divisible by the number (30) 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 31150421201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49222949487936).

31150421201040 is an abundant number, since it is smaller than the sum of its proper divisors (67295477774832).

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

31150421201040 is a wasteful number, since it uses less digits than its factorization.

31150421201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428689 (or 6428683 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 31150421201040 its reverse (4010212405113), we get a palindrome (35160633606153).

The spelling of 31150421201040 in words is "thirty-one trillion, one hundred fifty billion, four hundred twenty-one million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 331 366 488 610 662 732 915 976 993 1220 1324 1464 1655 1830 1986 2440 2648 2928 3310 3660 3972 4880 4965 5296 6620 7320 7944 9930 13240 14640 15888 19860 20191 26480 39720 40382 60573 79440 80764 100955 121146 161528 201910 242292 302865 323056 403820 484584 605730 807640 969168 1211460 1615280 2422920 4845840 6428281 12856562 19284843 25713124 32141405 38569686 51426248 64282810 77139372 96424215 102852496 128565620 154278744 192848430 257131240 308557488 385696860 392125141 514262480 771393720 784250282 1176375423 1542787440 1568500564 1960625705 2127761011 2352750846 3137001128 3921251410 4255522022 4705501692 5881877115 6274002256 6383283033 7842502820 8511044044 9411003384 10638805055 11763754230 12766566066 15685005640 17022088088 18822006768 21277610110 23527508460 25533132132 31370011280 31916415165 34044176176 42555220220 47055016920 51066264264 63832830330 85110440440 94110033840 102132528528 127665660660 129793421671 170220880880 255331321320 259586843342 389380265013 510662642640 519173686684 648967108355 778760530026 1038347373368 1297934216710 1557521060052 1946901325065 2076694746736 2595868433420 3115042120104 3893802650130 5191736866840 6230084240208 7787605300260 10383473733680 15575210600520 31150421201040