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3123213320040 = 23351123102872639
BaseRepresentation
bin101101011100101110000…
…001010011111101101000
3102001120120002212110100220
4231130232001103331220
5402132320102220130
610350441232330040
7441434065124352
oct55345601237550
912046502773326
103123213320040
11aa46025517a0
124253719a3920
1319869666a878
14ab242cd40d2
1556396879410
hex2d72e053f68

3123213320040 has 128 divisors (see below), whose sum is σ = 10665835315200. Its totient is φ = 724223371520.

The previous prime is 3123213320023. The next prime is 3123213320053. The reversal of 3123213320040 is 400233123213.

It is a super-2 number, since 2×31232133200402 (a number of 26 digits) contains 22 as substring.

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, 51405960 + ... + 51466679.

It is an arithmetic number, because the mean of its divisors is an integer number (83326838400).

Almost surely, 23123213320040 is an apocalyptic number.

3123213320040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3123213320040 is an abundant number, since it is smaller than the sum of its proper divisors (7542621995160).

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

3123213320040 is a wasteful number, since it uses less digits than its factorization.

3123213320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102872687 (or 102872683 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3123213320040 its reverse (400233123213), we get a palindrome (3523446443253).

The spelling of 3123213320040 in words is "three trillion, one hundred twenty-three billion, two hundred thirteen million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 102872639 205745278 308617917 411490556 514363195 617235834 822981112 1028726390 1131599029 1234471668 1543089585 2057452780 2263198058 2366070697 2468943336 3086179170 3394797087 4114905560 4526396116 4732141394 5657995145 6172358340 6789594174 7098212091 9052792232 9464282788 11315990290 11830353485 12344716680 13579188348 14196424182 16973985435 18928565576 22631980580 23660706970 26026777667 27158376696 28392848364 33947970870 35491060455 45263961160 47321413940 52053555334 56785696728 67895941740 70982120910 78080333001 94642827880 104107110668 130133888335 135791883480 141964241820 156160666002 208214221336 260267776670 283928483640 312321332004 390401665005 520535553340 624642664008 780803330010 1041071106680 1561606660020 3123213320040