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30242212006446 = 232111729309814289
BaseRepresentation
bin1101110000001010100000…
…10011011100101000101110
310222002010102202022112212200
412320011100103130220232
512430442022233201241
6144153025211042330
76240633130440336
oct670052023345056
9128063382275780
1030242212006446
1196aa7172a04a0
1234851877403a6
1313b4a9cb8721b
14767a337200c6
15376a090244b6
hex1b81504dca2e

30242212006446 has 96 divisors (see below), whose sum is σ = 78296267368800. Its totient is φ = 8327808061440.

The previous prime is 30242212006339. The next prime is 30242212006499. The reversal of 30242212006446 is 64460021224203.

30242212006446 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 2 + 2 + 1 + 2 + 0 + 0 + 644 + 6 = 666.

It is a super-3 number, since 3×302422120064463 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30242212006446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154809531 + ... + 155004758.

It is an arithmetic number, because the mean of its divisors is an integer number (815586118425).

Almost surely, 230242212006446 is an apocalyptic number.

30242212006446 is an abundant number, since it is smaller than the sum of its proper divisors (48054055362354).

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

30242212006446 is a wasteful number, since it uses less digits than its factorization.

30242212006446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309814354 (or 309814351 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 30242212006446 in words is "thirty trillion, two hundred forty-two billion, two hundred twelve million, six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 957 986 1122 1479 1683 1914 2871 2958 3366 4437 5423 5742 8874 10846 16269 32538 48807 97614 309814289 619628578 929442867 1858885734 2788328601 3407957179 5266842913 5576657202 6815914358 8984614381 10223871537 10533685826 15800528739 17969228762 20447743074 26953843143 30671614611 31601057478 47401586217 53907686286 57935272043 61343229222 80861529429 94803172434 98830758191 115870544086 152738444477 161723058858 173805816129 197661516382 296492274573 305476888954 347611632258 458215333431 521417448387 592984549146 889476823719 916430666862 1042834896774 1374646000293 1680122889247 1778953647438 2749292000586 3360245778494 5040368667741 10080737335482 15121106003223 30242212006446