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10040341342430 = 2572513311726429
BaseRepresentation
bin1001001000011011001011…
…1110101010100011011110
31022112211212122120210010002
42102012302332222203132
52304000104340424210
633204245200014302
72054251006163450
oct222066276524336
938484778523102
1010040341342430
1132210a2a33743
121161a76001392
1357aa52b52449
14269d52b922d0
1512628b8a34a5
hex921b2faa8de

10040341342430 has 64 divisors (see below), whose sum is σ = 20799365690880. Its totient is φ = 3418327440000.

The previous prime is 10040341342429. The next prime is 10040341342439. The reversal of 10040341342430 is 3424314304001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10040341342393 and 10040341342402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040341342439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4952456 + ... + 6678884.

It is an arithmetic number, because the mean of its divisors is an integer number (324990088920).

Almost surely, 210040341342430 is an apocalyptic number.

10040341342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10040341342430 is an abundant number, since it is smaller than the sum of its proper divisors (10759024348450).

10040341342430 is a wasteful number, since it uses less digits than its factorization.

10040341342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727025.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10040341342430 its reverse (3424314304001), we get a palindrome (13464655646431).

The spelling of 10040341342430 in words is "ten trillion, forty billion, three hundred forty-one million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 251 331 502 662 1255 1655 1757 2317 2510 3310 3514 4634 8785 11585 17570 23170 83081 166162 415405 581567 830810 1163134 1726429 2907835 3452858 5815670 8632145 12085003 17264290 24170006 60425015 120850030 433333679 571447999 866667358 1142895998 2166668395 2857239995 3033335753 4000135993 4333336790 5714479990 6066671506 8000271986 15166678765 20000679965 30333357530 40001359930 143433447749 286866895498 717167238745 1004034134243 1434334477490 2008068268486 5020170671215 10040341342430