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42203425378221 = 351740160142391
BaseRepresentation
bin10011001100010010000000…
…01011011000111110101101
312112102121102021111210100000
421212021000023120332231
521012430103344100341
6225431552545054513
711614045136532162
oct1146110013307655
9175377367453300
1042203425378221
11124a1410426448
124897381927439
131a719c59bb203
14a5c929d42069
154d2c1bc3a8b6
hex2662402d8fad

42203425378221 has 96 divisors (see below), whose sum is σ = 67217187937536. Its totient is φ = 26369971200000.

The previous prime is 42203425378201. The next prime is 42203425378249. The reversal of 42203425378221 is 12287352430224.

42203425378221 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 34 + 2 + 537 + 82 + 2 + 1 = 666.

It is not a de Polignac number, because 42203425378221 - 26 = 42203425378157 is a prime.

It is a super-2 number, since 2×422034253782212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203425378201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 995553936 + ... + 995596326.

It is an arithmetic number, because the mean of its divisors is an integer number (700179041016).

Almost surely, 242203425378221 is an apocalyptic number.

It is an amenable number.

42203425378221 is a deficient number, since it is larger than the sum of its proper divisors (25013762559315).

42203425378221 is a wasteful number, since it uses less digits than its factorization.

42203425378221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43425 (or 43413 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42203425378221 in words is "forty-two trillion, two hundred three billion, four hundred twenty-five million, three hundred seventy-eight thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 243 401 459 601 1203 1377 1803 3609 4131 5409 6817 10217 10827 16227 20451 30651 32481 42391 48681 61353 91953 97443 127173 146043 184059 241001 275859 381519 552177 720647 723003 827577 1144557 1656531 2161941 2169009 2482731 3433671 4097017 6485823 6507027 10301013 12291051 16998791 19457469 19521081 25476991 36873153 50996373 58372407 58563243 76430973 110619459 152989119 175117221 229292919 288979447 331858377 433108847 458967357 687878757 866938341 995575131 1299326541 1376902071 2063636271 2600815023 3897979623 4130706213 6190908813 7802445069 10216273391 11693938869 23407335207 30648820173 35081816607 70222005621 91946460519 105245449821 173676647647 275839381557 521029942941 827518144671 1563089828823 2482554434013 4689269486469 14067808459407 42203425378221