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4244220011400 = 2335219372300001
BaseRepresentation
bin111101110000101111001…
…110011110001110001000
3120000202001222201201021120
4331300233032132032020
51024014130310331100
613005433500235240
7615430504566135
oct75605716361610
916022058651246
104244220011400
111396a66605936
1258668483bb20
1324a2c7561515
141095c825358c
157560664a0a0
hex3dc2f39e388

4244220011400 has 96 divisors (see below), whose sum is σ = 13849560074400. Its totient is φ = 1072224000000.

The previous prime is 4244220011393. The next prime is 4244220011429. The reversal of 4244220011400 is 41100224424.

It is a super-2 number, since 2×42442200114002 (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186138601 + ... + 186161400.

It is an arithmetic number, because the mean of its divisors is an integer number (144266250775).

Almost surely, 24244220011400 is an apocalyptic number.

4244220011400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244220011400 is an abundant number, since it is smaller than the sum of its proper divisors (9605340063000).

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

4244220011400 is a wasteful number, since it uses less digits than its factorization.

4244220011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372300039 (or 372300030 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4244220011400 its reverse (41100224424), we get a palindrome (4285320235824).

The spelling of 4244220011400 in words is "four trillion, two hundred forty-four billion, two hundred twenty million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 372300001 744600002 1116900003 1489200004 1861500005 2233800006 2978400008 3723000010 4467600012 5584500015 7073700019 7446000020 8935200024 9307500025 11169000030 14147400038 14892000040 18615000050 21221100057 22338000060 27922500075 28294800076 35368500095 37230000100 42442200114 44676000120 55845000150 56589600152 70737000190 74460000200 84884400228 106105500285 111690000300 141474000380 169768800456 176842500475 212211000570 223380000600 282948000760 353685000950 424422001140 530527501425 707370001900 848844002280 1061055002850 1414740003800 2122110005700 4244220011400