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4244302100040 = 233583997427417
BaseRepresentation
bin111101110000110100000…
…111100111011001001000
3120000202021201012020201120
4331300310013213121020
51024014312314200130
613005445551515240
7615432522411462
oct75606407473110
916022251166646
104244302100040
111396aa8983292
125866a8228b20
1324a30b573492
141095d5101132
157560d962910
hex3dc341e7648

4244302100040 has 128 divisors (see below), whose sum is σ = 12899270079360. Its totient is φ = 1117053425664.

The previous prime is 4244302100023. The next prime is 4244302100057. The reversal of 4244302100040 is 400012034424.

It is a happy number.

4244302100040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4244302100023) and next prime (4244302100057).

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, 9716412 + ... + 10143828.

It is an arithmetic number, because the mean of its divisors is an integer number (100775547495).

Almost surely, 24244302100040 is an apocalyptic number.

4244302100040 is a gapful number since it is divisible by the number (40) 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 4244302100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449635039680).

4244302100040 is an abundant number, since it is smaller than the sum of its proper divisors (8654967979320).

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

4244302100040 is a wasteful number, since it uses less digits than its factorization.

4244302100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428511 (or 428507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4244302100040 its reverse (400012034424), we get a palindrome (4644314134464).

The spelling of 4244302100040 in words is "four trillion, two hundred forty-four billion, three hundred two million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 997 1245 1660 1992 1994 2490 2991 3320 3988 4980 4985 5982 7976 9960 9970 11964 14955 19940 23928 29910 39880 59820 82751 119640 165502 248253 331004 413755 427417 496506 662008 827510 854834 993012 1241265 1282251 1655020 1709668 1986024 2137085 2482530 2564502 3310040 3419336 4274170 4965060 5129004 6411255 8548340 9930120 10258008 12822510 17096680 25645020 35475611 51290040 70951222 106426833 141902444 177378055 212853666 283804888 354756110 425707332 426134749 532134165 709512220 851414664 852269498 1064268330 1278404247 1419024440 1704538996 2128536660 2130673745 2556808494 3409077992 4257073320 4261347490 5113616988 6392021235 8522694980 10227233976 12784042470 17045389960 25568084940 35369184167 51136169880 70738368334 106107552501 141476736668 176845920835 212215105002 282953473336 353691841670 424430210004 530537762505 707383683340 848860420008 1061075525010 1414767366680 2122151050020 4244302100040