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414231302040 = 233512251281767
BaseRepresentation
bin1100000011100100001…
…11000000111110011000
31110121012111021102022120
412001302013000332120
523241321203131130
6514143434221240
741633015654343
oct6016207007630
91417174242276
10414231302040
1114a746853246
1268345284820
13300a5b4401a
141609828945a
15ab95eba910
hex60721c0f98

414231302040 has 64 divisors (see below), whose sum is σ = 1242799752960. Its totient is φ = 110452272000.

The previous prime is 414231302039. The next prime is 414231302047. The reversal of 414231302040 is 40203132414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 414231302040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414231302047) 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, 1329237 + ... + 1611003.

It is an arithmetic number, because the mean of its divisors is an integer number (19418746140).

Almost surely, 2414231302040 is an apocalyptic number.

414231302040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414231302040 is an abundant number, since it is smaller than the sum of its proper divisors (828568450920).

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

414231302040 is a wasteful number, since it uses less digits than its factorization.

414231302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294032 (or 294028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414231302040 its reverse (40203132414), we get a palindrome (454434434454).

The spelling of 414231302040 in words is "four hundred fourteen billion, two hundred thirty-one million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12251 24502 36753 49004 61255 73506 98008 122510 147012 183765 245020 281767 294024 367530 490040 563534 735060 845301 1127068 1408835 1470120 1690602 2254136 2817670 3381204 4226505 5635340 6762408 8453010 11270680 16906020 33812040 3451927517 6903855034 10355782551 13807710068 17259637585 20711565102 27615420136 34519275170 41423130204 51778912755 69038550340 82846260408 103557825510 138077100680 207115651020 414231302040