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23400200440320 = 293511276991009
BaseRepresentation
bin1010101001000010010001…
…01000101000101000000000
310001212001000012110120112020
411110201020220220220000
511031342102303042240
6121433523110001440
74633415531630064
oct524411050505000
9101761005416466
1023400200440320
117501a73119970
12275b147946280
131009824b317c2
145ac80bbb1aa4
152a8a5d8b80d0
hex154848a28a00

23400200440320 has 160 divisors (see below), whose sum is σ = 81608199330240. Its totient is φ = 5672775843840.

The previous prime is 23400200440307. The next prime is 23400200440367. The reversal of 23400200440320 is 2304400200432.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138411025 + ... + 138579984.

It is an arithmetic number, because the mean of its divisors is an integer number (510051245814).

Almost surely, 223400200440320 is an apocalyptic number.

23400200440320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23400200440320 is an abundant number, since it is smaller than the sum of its proper divisors (58207998889920).

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

23400200440320 is a wasteful number, since it uses less digits than its factorization.

23400200440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276991046 (or 276991030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23400200440320 its reverse (2304400200432), we get a palindrome (25704600640752).

The spelling of 23400200440320 in words is "twenty-three trillion, four hundred billion, two hundred million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 16896 21120 28160 42240 84480 276991009 553982018 830973027 1107964036 1384955045 1661946054 2215928072 2769910090 3046901099 3323892108 4154865135 4431856144 5539820180 6093802198 6647784216 8309730270 8863712288 9140703297 11079640360 12187604396 13295568432 15234505495 16619460540 17727424576 18281406594 22159280720 24375208792 26591136864 30469010990 33238921080 35454849152 36562813188 44318561440 45703516485 48750417584 53182273728 60938021980 66477842160 70909698304 73125626376 88637122880 91407032970 97500835168 106364547456 121876043960 132955684320 141819396608 146251252752 177274245760 182814065940 195001670336 212729094912 243752087920 265911368640 292502505504 354548491520 365628131880 390003340672 425458189824 487504175840 531822737280 585005011008 709096983040 731256263760 780006681344 975008351680 1063645474560 1170010022016 1462512527520 1560013362688 1950016703360 2127290949120 2340020044032 2925025055040 3900033406720 4680040088064 5850050110080 7800066813440 11700100220160 23400200440320