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23401742420 = 22572101236429
BaseRepresentation
bin10101110010110110…
…100100000001010100
32020101220111200120202
4111302312210001110
5340411321224140
614430044320032
71455626346200
oct256266440124
966356450522
1023401742420
119a197454a1
124651243018
13228c390884
1411bddc7b00
1591e719915
hex572da4054

23401742420 has 72 divisors (see below), whose sum is σ = 57733368840. Its totient is φ = 7943980800.

The previous prime is 23401742417. The next prime is 23401742431. The reversal of 23401742420 is 2424710432.

It can be written as a sum of positive squares in 4 ways, for example, as 5813147536 + 17588594884 = 76244^2 + 132622^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19235 + ... + 217194.

It is an arithmetic number, because the mean of its divisors is an integer number (801852345).

Almost surely, 223401742420 is an apocalyptic number.

23401742420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23401742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28866684420).

23401742420 is an abundant number, since it is smaller than the sum of its proper divisors (34331626420).

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

23401742420 is a wasteful number, since it uses less digits than its factorization.

23401742420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236553 (or 236544 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The spelling of 23401742420 in words is "twenty-three billion, four hundred one million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 1010 1414 2020 2828 3535 4949 7070 9898 14140 19796 24745 49490 98980 236429 472858 945716 1182145 1655003 2364290 3310006 4728580 6620012 8275015 11585021 16550030 23170042 23879329 33100060 46340084 47758658 57925105 95517316 115850210 119396645 167155303 231700420 238793290 334310606 477586580 668621212 835776515 1170087121 1671553030 2340174242 3343106060 4680348484 5850435605 11700871210 23401742420