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42233521440 = 2535117998773
BaseRepresentation
bin100111010101010100…
…000110010100100000
311001000022211011220210
4213111110012110200
51142443240141230
631222442534120
73023405003055
oct472524062440
9131008734823
1042233521440
1116a027a3830
128227b07340
133ca0a1c996
14208909302c
151172b25eb0
hex9d5506520

42233521440 has 96 divisors (see below), whose sum is σ = 145129755456. Its totient is φ = 10238428160.

The previous prime is 42233521417. The next prime is 42233521441. The reversal of 42233521440 is 4412533224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42233521398 and 42233521407.

It is not an unprimeable number, because it can be changed into a prime (42233521441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3994107 + ... + 4004666.

It is an arithmetic number, because the mean of its divisors is an integer number (1511768286).

Almost surely, 242233521440 is an apocalyptic number.

42233521440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233521440 is an abundant number, since it is smaller than the sum of its proper divisors (102896234016).

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

42233521440 is a wasteful number, since it uses less digits than its factorization.

42233521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998802 (or 7998794 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 42233521440 in words is "forty-two billion, two hundred thirty-three million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 7998773 15997546 23996319 31995092 39993865 47992638 63990184 79987730 87986503 95985276 119981595 127980368 159975460 175973006 191970552 239963190 255960736 263959509 319950920 351946012 383941104 439932515 479926380 527919018 639901840 703892024 767882208 879865030 959852760 1055838036 1279803680 1319797545 1407784048 1759730060 1919705520 2111676072 2639595090 2815568096 3519460120 3839411040 4223352144 5279190180 7038920240 8446704288 10558380360 14077840480 21116760720 42233521440