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34201440040 = 23549912591361
BaseRepresentation
bin11111110110100100…
…001000111100101000
310021021120001011121111
4133312210020330220
51030021032040130
623413435320104
72320354305115
oct376644107450
9107246034544
1034201440040
1113560904129
126765bb0034
1332c09563b1
14192643790c
15d528e002a
hex7f6908f28

34201440040 has 64 divisors (see below), whose sum is σ = 77225400000. Its totient is φ = 13632291840.

The previous prime is 34201440023. The next prime is 34201440041. The reversal of 34201440040 is 4004410243.

It is a junction number, because it is equal to n+sod(n) for n = 34201439993 and 34201440020.

It is not an unprimeable number, because it can be changed into a prime (34201440041) 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, 25128960 + ... + 25130320.

It is an arithmetic number, because the mean of its divisors is an integer number (1206646875).

Almost surely, 234201440040 is an apocalyptic number.

It is an amenable number.

34201440040 is an abundant number, since it is smaller than the sum of its proper divisors (43023959960).

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

34201440040 is a wasteful number, since it uses less digits than its factorization.

34201440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34201440040 its reverse (4004410243), we get a palindrome (38205850283).

The spelling of 34201440040 in words is "thirty-four billion, two hundred one million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 499 998 1259 1361 1996 2495 2518 2722 3992 4990 5036 5444 6295 6805 9980 10072 10888 12590 13610 19960 25180 27220 50360 54440 628241 679139 1256482 1358278 1713499 2512964 2716556 3141205 3395695 3426998 5025928 5433112 6282410 6791390 6853996 8567495 12564820 13582780 13707992 17134990 25129640 27165560 34269980 68539960 855036001 1710072002 3420144004 4275180005 6840288008 8550360010 17100720020 34201440040