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30266235040140 = 223251177931961501
BaseRepresentation
bin1101110000110111010000…
…01100000011000110001100
310222011102102221220002212100
412320123220030003012030
512431340222132241030
6144212041052035100
76242443343033421
oct670335014030614
9128142387802770
1030266235040140
119709924706250
123489970a62a90
1313b712ab89768
14768c72033d48
15377463065360
hex1b86e830318c

30266235040140 has 144 divisors (see below), whose sum is σ = 100166626044576. Its totient is φ = 7336323840000.

The previous prime is 30266235040079. The next prime is 30266235040141. The reversal of 30266235040140 is 4104053266203.

30266235040140 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 6 + 2 + 3 + 504 + 0 + 140 = 666.

It is a super-2 number, since 2×302662350401402 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30266235040095 and 30266235040104.

It is not an unprimeable number, because it can be changed into a prime (30266235040141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14449390 + ... + 16410890.

It is an arithmetic number, because the mean of its divisors is an integer number (695601569754).

Almost surely, 230266235040140 is an apocalyptic number.

30266235040140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30266235040140 is an abundant number, since it is smaller than the sum of its proper divisors (69900391004436).

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

30266235040140 is a wasteful number, since it uses less digits than its factorization.

30266235040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969320 (or 1969315 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30266235040140 in words is "thirty trillion, two hundred sixty-six billion, two hundred thirty-five million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7793 15586 23379 31172 38965 46758 70137 77930 85723 93516 116895 140274 155860 171446 233790 257169 280548 342892 350685 428615 467580 514338 701370 771507 857230 1028676 1285845 1402740 1543014 1714460 1961501 2571690 3086028 3857535 3923002 5143380 5884503 7715070 7846004 9807505 11769006 15430140 17653509 19615010 21576511 23538012 29422515 35307018 39230020 43153022 58845030 64729533 70614036 86306044 88267545 107882555 117690060 129459066 176535090 194188599 215765110 258918132 323647665 353070180 388377198 431530220 647295330 776754396 970942995 1294590660 1941885990 3883771980 15285977293 30571954586 45857931879 61143909172 76429886465 91715863758 137573795637 152859772930 168145750223 183431727516 229289659395 275147591274 305719545860 336291500446 458579318790 504437250669 550295182548 672583000892 687868978185 840728751115 917158637580 1008874501338 1375737956370 1513311752007 1681457502230 2017749002676 2522186253345 2751475912740 3026623504014 3362915004460 5044372506690 6053247008028 7566558760035 10088745013380 15133117520070 30266235040140