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214011355243504 = 24713773190149833
BaseRepresentation
bin110000101010010001100110…
…110011101010001111110000
31001001202021201022110011001011
4300222101212303222033300
5211022330223420243004
62035055243114520304
763035544613654360
oct6052214663521760
91031667638404034
10214011355243504
11622107848524a5
1220004a01a36094
13925525190b210
143abc2c21d69a0
1519b1dd6cee004
hexc2a466cea3f0

214011355243504 has 80 divisors (see below), whose sum is σ = 510994973103552. Its totient is φ = 84554306095104.

The previous prime is 214011355243501. The next prime is 214011355243601. The reversal of 214011355243504 is 405342553110412.

It is a super-2 number, since 2×2140113552435042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214011355243501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93949429 + ... + 96200404.

Almost surely, 2214011355243504 is an apocalyptic number.

It is an amenable number.

214011355243504 is an abundant number, since it is smaller than the sum of its proper divisors (296983617860048).

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

214011355243504 is a wasteful number, since it uses less digits than its factorization.

214011355243504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190150634 (or 190150628 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 214011355243504 in words is "two hundred fourteen trillion, eleven billion, three hundred fifty-five million, two hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 773 1456 1546 3092 5411 6184 10049 10822 12368 20098 21644 40196 43288 70343 80392 86576 140686 160784 281372 562744 1125488 190149833 380299666 760599332 1331048831 1521198664 2471947829 2662097662 3042397328 4943895658 5324195324 9887791316 10648390648 17303634803 19775582632 21296781296 34607269606 39551165264 69214539212 138429078424 146985820909 276858156848 293971641818 587943283636 1028900746363 1175886567272 1910815671817 2057801492726 2351773134544 3821631343634 4115602985452 7643262687268 8231205970904 13375709702719 15286525374536 16462411941808 26751419405438 30573050749072 53502838810876 107005677621752 214011355243504