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314322032442 = 231137402731963
BaseRepresentation
bin1001001001011110000…
…11011001011100111010
31010001022122100122210010
410210233003121130322
520122212420014232
6400221512002350
731465123123065
oct4445703313472
91101278318703
10314322032442
11111337658250
1250b019903b6
1323843080b12
14112db2c58dc
158299c040cc
hex492f0d973a

314322032442 has 64 divisors (see below), whose sum is σ = 704525428224. Its totient is φ = 92648888640.

The previous prime is 314322032419. The next prime is 314322032503. The reversal of 314322032442 is 244230223413.

314322032442 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3143220324424 (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9817953 + ... + 9849915.

It is an arithmetic number, because the mean of its divisors is an integer number (11008209816).

Almost surely, 2314322032442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314322032442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352262714112).

314322032442 is an abundant number, since it is smaller than the sum of its proper divisors (390203395782).

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

314322032442 is a wasteful number, since it uses less digits than its factorization.

314322032442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36043.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 314322032442 its reverse (244230223413), we get a palindrome (558552255855).

The spelling of 314322032442 in words is "three hundred fourteen billion, three hundred twenty-two million, thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 4027 8054 12081 24162 31963 44297 63926 88594 95889 132891 148999 191778 265782 297998 351593 446997 703186 893994 1054779 1182631 1638989 2109558 2365262 3277978 3547893 4916967 7095786 9833934 13008941 26017882 39026823 78053646 128715001 257430002 386145003 772290006 1415865011 2831730022 4247595033 4762455037 8495190066 9524910074 14287365111 28574730222 52387005407 104774010814 157161016221 314322032442