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42004404222440 = 23511108838771897
BaseRepresentation
bin10011000110011111010011…
…00101111011100111101000
312111201120201011002112200012
421203033221211323213220
521001200004440104230
6225200320143031052
711563501202604332
oct1143175145734750
9174646634075605
1042004404222440
1112424a71149410
124864899b9b488
131a58cc940c9ca
14a53049c62452
154cc96e6b9395
hex2633e997b9e8

42004404222440 has 64 divisors (see below), whose sum is σ = 103111204858560. Its totient is φ = 15272923563520.

The previous prime is 42004404222413. The next prime is 42004404222463. The reversal of 42004404222440 is 4422240440024.

It is a super-3 number, since 3×420044042224403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42004404222397 and 42004404222406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402572 + ... + 9174468.

It is an arithmetic number, because the mean of its divisors is an integer number (1611112575915).

Almost surely, 242004404222440 is an apocalyptic number.

42004404222440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004404222440 is an abundant number, since it is smaller than the sum of its proper divisors (61106800636120).

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

42004404222440 is a wasteful number, since it uses less digits than its factorization.

42004404222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782802 (or 8782798 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 42004404222440 its reverse (4422240440024), we get a palindrome (46426644662464).

The spelling of 42004404222440 in words is "forty-two trillion, four billion, four hundred four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 10883 21766 43532 54415 87064 108830 119713 217660 239426 435320 478852 598565 957704 1197130 2394260 4788520 8771897 17543794 35087588 43859485 70175176 87718970 96490867 175437940 192981734 350875880 385963468 482454335 771926936 964908670 1929817340 3859634680 95464555051 190929110102 381858220204 477322775255 763716440408 954645550510 1050110105561 1909291101020 2100220211122 3818582202040 4200440422244 5250550527805 8400880844488 10501101055610 21002202111220 42004404222440