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30401076706440 = 233511191212164143
BaseRepresentation
bin1101110100110010011010…
…11000001011110010001000
310222122022111022021111001020
412322121031120023302020
512441042401114101230
6144354021204552440
76255256010216106
oct672311530136210
9128568438244036
1030401076706440
11976102a278990
1234abb230b2720
1313c6a69b6399b
147715c4546c76
1537ac05ea6810
hex1ba64d60bc88

30401076706440 has 128 divisors (see below), whose sum is σ = 104730982041600. Its totient is φ = 6982065457920.

The previous prime is 30401076706417. The next prime is 30401076706493. The reversal of 30401076706440 is 4460767010403.

It is a junction number, because it is equal to n+sod(n) for n = 30401076706392 and 30401076706401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606056992 + ... + 606107151.

It is an arithmetic number, because the mean of its divisors is an integer number (818210797200).

Almost surely, 230401076706440 is an apocalyptic number.

30401076706440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30401076706440 is an abundant number, since it is smaller than the sum of its proper divisors (74329905335160).

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

30401076706440 is a wasteful number, since it uses less digits than its factorization.

30401076706440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212164187 (or 1212164183 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 30401076706440 in words is "thirty trillion, four hundred one billion, seventy-six million, seven hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 1212164143 2424328286 3636492429 4848656572 6060820715 7272984858 9697313144 12121641430 13333805573 14545969716 18182462145 23031118717 24243282860 26667611146 29091939432 36364924290 40001416719 46062237434 48486565720 53335222292 66669027865 69093356151 72729848580 80002833438 92124474868 106670444584 115155593585 133338055730 138186712302 145459697160 160005666876 184248949736 200007083595 230311187170 253342305887 266676111460 276373424604 320011333752 345466780755 400014167190 460622374340 506684611774 533352222920 552746849208 690933561510 760026917661 800028334380 921244748680 1013369223548 1266711529435 1381867123020 1520053835322 1600056668760 2026738447096 2533423058870 2763734246040 3040107670644 3800134588305 5066846117740 6080215341288 7600269176610 10133692235480 15200538353220 30401076706440