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23044330401000 = 2335317414412087
BaseRepresentation
bin1010011110101011011010…
…01000001010110011101000
310000121000110000012111000120
411033111231020022303220
511010024242040313000
6121002230320003240
74565616663331416
oct517255510126350
9100530400174016
1023044330401000
117385055824157
12270218b760520
13cb20c009b03c
145994cc8c02b6
1529e68134d6a0
hex14f56d20ace8

23044330401000 has 128 divisors (see below), whose sum is σ = 71939624290560. Its totient is φ = 6141623712000.

The previous prime is 23044330400999. The next prime is 23044330401041. The reversal of 23044330401000 is 10403344032.

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

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, 3016957 + ... + 7429043.

It is an arithmetic number, because the mean of its divisors is an integer number (562028314770).

Almost surely, 223044330401000 is an apocalyptic number.

23044330401000 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 23044330401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35969812145280).

23044330401000 is an abundant number, since it is smaller than the sum of its proper divisors (48895293889560).

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

23044330401000 is a wasteful number, since it uses less digits than its factorization.

23044330401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413852 (or 4413838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23044330401000 its reverse (10403344032), we get a palindrome (23054733745032).

The spelling of 23044330401000 in words is "twenty-three trillion, forty-four billion, three hundred thirty million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1741 3000 3482 5223 6964 8705 10446 13928 17410 20892 26115 34820 41784 43525 52230 69640 87050 104460 130575 174100 208920 217625 261150 348200 435250 522300 652875 870500 1044600 1305750 1741000 2611500 4412087 5223000 8824174 13236261 17648348 22060435 26472522 35296696 44120870 52945044 66181305 88241740 105890088 110302175 132362610 176483480 220604350 264725220 330906525 441208700 529450440 551510875 661813050 882417400 1103021750 1323626100 1654532625 2206043500 2647252200 3309065250 4412087000 6618130500 7681443467 13236261000 15362886934 23044330401 30725773868 38407217335 46088660802 61451547736 76814434670 92177321604 115221652005 153628869340 184354643208 192036086675 230443304010 307257738680 384072173350 460886608020 576108260025 768144346700 921773216040 960180433375 1152216520050 1536288693400 1920360866750 2304433040100 2880541300125 3840721733500 4608866080200 5761082600250 7681443467000 11522165200500 23044330401000