Search a number
-
+
42025513502435 = 51729313743134487
BaseRepresentation
bin10011000111000110100111…
…10011011100011011100011
312111210121012021221002000012
421203203103303130123203
521002021222424034220
6225214130540115135
711565146254534601
oct1143432363343343
9174717167832005
1042025513502435
1112432a13850961
1248689ab535aab
131a5acb1867228
14a5408d5c0871
154cd2a7a00ac5
hex2638d3cdc6e3

42025513502435 has 128 divisors (see below), whose sum is σ = 58698951229440. Its totient is φ = 28699414732800.

The previous prime is 42025513502407. The next prime is 42025513502443. The reversal of 42025513502435 is 53420531552024.

It is not a de Polignac number, because 42025513502435 - 226 = 42025446393571 is a prime.

It is a super-2 number, since 2×420255135024352 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42025513502392 and 42025513502401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1218572762 + ... + 1218607248.

It is an arithmetic number, because the mean of its divisors is an integer number (458585556480).

Almost surely, 242025513502435 is an apocalyptic number.

42025513502435 is a deficient number, since it is larger than the sum of its proper divisors (16673437727005).

42025513502435 is a wasteful number, since it uses less digits than its factorization.

42025513502435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35037.

The product of its (nonzero) digits is 720000, while the sum is 41.

The spelling of 42025513502435 in words is "forty-two trillion, twenty-five billion, five hundred thirteen million, five hundred two thousand, four hundred thirty-five".

Divisors: 1 5 17 29 31 37 85 145 155 185 431 493 527 629 899 1073 1147 2155 2465 2635 3145 4495 5365 5735 7327 12499 13361 15283 15947 18241 19499 33263 34487 36635 62495 66805 76415 79735 91205 97495 166315 172435 212483 227137 271099 387469 462463 494357 565471 586279 1000123 1062415 1069097 1135685 1276019 1355495 1937345 2312315 2471785 2827355 2931395 5000615 5345485 6380095 6586973 7861871 8404069 14336353 14863897 17002091 18174649 21692323 31003813 32934865 37004551 39309355 39556589 42020345 71681765 74319485 85010455 90873245 108461615 155019065 185022755 197782945 243718001 252686249 431053013 460780807 527064821 549964189 629077367 672462013 1147141081 1218590005 1263431245 2155265065 2303904035 2635324105 2749820945 3145386835 3362310065 5735705405 7327901221 7833273719 9349391213 13362643403 15948961481 17048889859 19501398377 36639506105 39166368595 46746956065 66813217015 79744807405 85244449295 97506991885 227164937851 271132345177 289831127603 494417805911 1135824689255 1355661725885 1449155638015 2472089029555 8405102700487 42025513502435