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30413346311412 = 22342325715880283
BaseRepresentation
bin1101110101001001010001…
…01101000000110011110100
310222200111011101200222220000
412322210220231000303310
512441243013123431122
6144403410505111300
76256202034150141
oct672445055006364
9128614141628800
1030413346311412
119766256133789
1234b2388188530
1313c7c73b1357c
14772029ca53c8
1537b1c32300ac
hex1ba928b40cf4

30413346311412 has 120 divisors (see below), whose sum is σ = 83286118593216. Its totient is φ = 9659276808192.

The previous prime is 30413346311401. The next prime is 30413346311429. The reversal of 30413346311412 is 21411364331403.

30413346311412 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 3 + 3 + 4 + 631 + 1 + 4 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6024978 + ... + 9855305.

Almost surely, 230413346311412 is an apocalyptic number.

It is an amenable number.

30413346311412 is an abundant number, since it is smaller than the sum of its proper divisors (52872772281804).

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

30413346311412 is a wasteful number, since it uses less digits than its factorization.

30413346311412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15880579 (or 15880568 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 30413346311412 in words is "thirty trillion, four hundred thirteen billion, three hundred forty-six million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 257 276 324 414 514 621 771 828 1028 1242 1542 1863 2313 2484 3084 3726 4626 5911 6939 7452 9252 11822 13878 17733 20817 23644 27756 35466 41634 53199 70932 83268 106398 159597 212796 319194 478791 638388 957582 1915164 15880283 31760566 47640849 63521132 95281698 142922547 190563396 285845094 365246509 428767641 571690188 730493018 857535282 1095739527 1286302923 1460986036 1715070564 2191479054 2572605846 3287218581 4081232731 4382958108 5145211692 6574437162 8162465462 9861655743 12243698193 13148874324 16324930924 19723311486 24487396386 29584967229 36731094579 39446622972 48974792772 59169934458 73462189158 93868352813 110193283737 118339868916 146924378316 187736705626 220386567474 281605058439 330579851211 375473411252 440773134948 563210116878 661159702422 844815175317 1126420233756 1322319404844 1689630350634 2534445525951 3379260701268 5068891051902 7603336577853 10137782103804 15206673155706 30413346311412