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30401432020410 = 23511577772720663
BaseRepresentation
bin1101110100110011000101…
…00011100110010110111010
310222122100102001212022011220
412322121202203212112322
512441044113044123120
6144354120340332510
76255300553304643
oct672314243462672
9128570361768156
1030401432020410
1197611a18a25a0
1234b00020a4136
1313c6ac565a839
147716197d86ca
1537ac2728eb40
hex1ba6628e65ba

30401432020410 has 128 divisors (see below), whose sum is σ = 79748603633664. Its totient is φ = 7355962920960.

The previous prime is 30401432020409. The next prime is 30401432020411. The reversal of 30401432020410 is 1402023410403.

It is an interprime number because it is at equal distance from previous prime (30401432020409) and next prime (30401432020411).

It is a super-2 number, since 2×304014320204102 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30401432020411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471287739 + ... + 1471308401.

It is an arithmetic number, because the mean of its divisors is an integer number (623035965888).

Almost surely, 230401432020410 is an apocalyptic number.

30401432020410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30401432020410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39874301816832).

30401432020410 is an abundant number, since it is smaller than the sum of its proper divisors (49347171613254).

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

30401432020410 is a wasteful number, since it uses less digits than its factorization.

30401432020410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28988.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30401432020410 its reverse (1402023410403), we get a palindrome (31803455430813).

The spelling of 30401432020410 in words is "thirty trillion, four hundred one billion, four hundred thirty-two million, twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 577 1154 1731 2885 3462 5770 6347 7727 8655 12694 15454 17310 19041 20663 23181 31735 38082 38635 41326 46362 61989 63470 77270 84997 95205 103315 115905 123978 169994 190410 206630 227293 231810 254991 309945 424985 454586 509982 619890 681879 849970 1136465 1274955 1363758 2272930 2549910 3409395 4458479 6818790 8916958 11922551 13375437 22292395 23845102 26750874 35767653 44584790 49043269 59612755 66877185 71535306 98086538 119225510 131148061 133754370 147129807 159663001 178838265 245216345 262296122 294259614 319326002 357676530 393444183 478989003 490432690 655740305 735649035 786888366 798315005 957978006 1311480610 1471298070 1596630010 1756293011 1967220915 2394945015 3512586022 3934441830 4789890030 5268879033 8781465055 10537758066 17562930110 26344395165 52688790330 92125551577 184251103154 276376654731 460627757885 552753309462 921255515770 1013381067347 1381883273655 2026762134694 2763766547310 3040143202041 5066905336735 6080286404082 10133810673470 15200716010205 30401432020410