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31401352000 = 26534391283
BaseRepresentation
bin11101001111101010…
…101001101101000000
310000001102011221221001
4131033222221231000
51003302221231000
622231531541344
72161104042124
oct351752515500
9100042157831
1031401352000
1112354276587
1261042ba854
132c657c8075
14173c5cd584
15c3bb8946a
hex74faa9b40

31401352000 has 112 divisors (see below), whose sum is σ = 79574818752. Its totient is φ = 12268300800.

The previous prime is 31401351997. The next prime is 31401352007. The reversal of 31401352000 is 25310413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31401352007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298359 + ... + 389641.

Almost surely, 231401352000 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 31401352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39787409376).

31401352000 is an abundant number, since it is smaller than the sum of its proper divisors (48173466752).

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

31401352000 is an equidigital number, since it uses as much as digits as its factorization.

31401352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91353 (or 91333 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 31401352000 its reverse (25310413), we get a palindrome (31426662413).

The spelling of 31401352000 in words is "thirty-one billion, four hundred one million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 688 800 860 1000 1075 1376 1600 1720 2000 2150 2752 3440 4000 4300 5375 6880 8000 8600 10750 13760 17200 21500 34400 43000 68800 86000 91283 172000 182566 344000 365132 456415 730264 912830 1460528 1825660 2282075 2921056 3651320 3925169 4564150 5842112 7302640 7850338 9128300 11410375 14605280 15700676 18256600 19625845 22820750 29210560 31401352 36513200 39251690 45641500 62802704 73026400 78503380 91283000 98129225 125605408 146052800 157006760 182566000 196258450 251210816 314013520 365132000 392516900 490646125 628027040 730264000 785033800 981292250 1256054080 1570067600 1962584500 3140135200 3925169000 6280270400 7850338000 15700676000 31401352000