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31230321431440 = 2451318773397939
BaseRepresentation
bin1110001100111011000000…
…01101110001001110010000
311002120120220210112011212211
413012131200031301032100
513043134144241301230
6150231002301201504
76402213323121055
oct706354015611620
9132516823464784
1031230321431440
119a5078330339a
12360478b560294
131457011881961
1479d7ac8b102c
1539258b93242a
hex1c6760371390

31230321431440 has 80 divisors (see below), whose sum is σ = 73248223688640. Its totient is φ = 12382629742080.

The previous prime is 31230321431357. The next prime is 31230321431473. The reversal of 31230321431440 is 4413412303213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312303214314402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7491991 + ... + 10889929.

It is an arithmetic number, because the mean of its divisors is an integer number (915602796108).

Almost surely, 231230321431440 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 31230321431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36624111844320).

31230321431440 is an abundant number, since it is smaller than the sum of its proper divisors (42017902257200).

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

31230321431440 is a wasteful number, since it uses less digits than its factorization.

31230321431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398960 (or 3398954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 31230321431440 its reverse (4413412303213), we get a palindrome (35643733734653).

The spelling of 31230321431440 in words is "thirty-one trillion, two hundred thirty billion, three hundred twenty-one million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 877 1048 1310 1754 2096 2620 3508 4385 5240 7016 8770 10480 14032 17540 35080 70160 114887 229774 459548 574435 919096 1148870 1838192 2297740 3397939 4595480 6795878 9190960 13591756 16989695 27183512 33979390 54367024 67958780 135917560 271835120 445130009 890260018 1780520036 2225650045 2979992503 3561040072 4451300090 5959985006 7122080144 8902600180 11919970012 14899962515 17805200360 23839940024 29799925030 35610400720 47679880048 59599850060 119199700120 238399400240 390379017893 780758035786 1561516071572 1951895089465 3123032143144 3903790178930 6246064286288 7807580357860 15615160715720 31230321431440