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23301304032440 = 2357197395926853
BaseRepresentation
bin1010100110001010000011…
…11100110001110010111000
310001111120201221102112001202
411103011001330301302320
511023232032313014230
6121320245444433332
74623315015215240
oct523050174616270
9101446657375052
1023301304032440
117474033731975
122743b476a8848
1310003c3b5ca65
145a7b09546b20
152a61c14c3a45
hex153141f31cb8

23301304032440 has 128 divisors (see below), whose sum is σ = 63156556224000. Its totient is φ = 7558300988928.

The previous prime is 23301304032437. The next prime is 23301304032449. The reversal of 23301304032440 is 4423040310332.

It is a super-2 number, since 2×233013040324402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301304032449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968054 + ... + 6894906.

It is an arithmetic number, because the mean of its divisors is an integer number (493410595500).

Almost surely, 223301304032440 is an apocalyptic number.

23301304032440 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 23301304032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31578278112000).

23301304032440 is an abundant number, since it is smaller than the sum of its proper divisors (39855252191560).

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

23301304032440 is a wasteful number, since it uses less digits than its factorization.

23301304032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927629 (or 5927625 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 23301304032440 its reverse (4423040310332), we get a palindrome (27724344342772).

The spelling of 23301304032440 in words is "twenty-three trillion, three hundred one billion, three hundred four million, thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 739 760 1064 1330 1478 2660 2956 3695 5173 5320 5912 7390 10346 14041 14780 20692 25865 28082 29560 41384 51730 56164 70205 98287 103460 112328 140410 196574 206920 280820 393148 491435 561640 786296 982870 1965740 3931480 5926853 11853706 23707412 29634265 41487971 47414824 59268530 82975942 112610207 118537060 165951884 207439855 225220414 237074120 331903768 414879710 450440828 563051035 788271449 829759420 900881656 1126102070 1576542898 1659518840 2252204140 3153085796 3941357245 4379944367 4504408280 6306171592 7882714490 8759888734 15765428980 17519777468 21899721835 30659610569 31530857960 35039554936 43799443670 61319221138 83218942973 87598887340 122638442276 153298052845 166437885946 175197774680 245276884552 306596105690 332875771892 416094714865 582532600811 613192211380 665751543784 832189429730 1165065201622 1226384422760 1664378859460 2330130403244 2912663004055 3328757718920 4660260806488 5825326008110 11650652016220 23301304032440