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1401210344430 = 2325132829111127
BaseRepresentation
bin10100011000111110101…
…001010001001111101110
311221221202202110122220100
4110120332221101033232
5140424134322010210
62551412424331530
7203143204261011
oct24307651211756
94857682418810
101401210344430
114a0282789a46
121a7692613ba6
13a21975b0900
144bb6726d378
15266ae5405c0
hex1463ea513ee

1401210344430 has 144 divisors (see below), whose sum is σ = 3949740269280. Its totient is φ = 344494156032.

The previous prime is 1401210344383. The next prime is 1401210344441. The reversal of 1401210344430 is 344430121041.

1401210344430 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 210 + 3 + 4 + 443 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1401210344394 and 1401210344403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12553527 + ... + 12664653.

It is an arithmetic number, because the mean of its divisors is an integer number (27428751870).

Almost surely, 21401210344430 is an apocalyptic number.

1401210344430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401210344430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974870134640).

1401210344430 is an abundant number, since it is smaller than the sum of its proper divisors (2548529924850).

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

1401210344430 is a wasteful number, since it uses less digits than its factorization.

1401210344430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111995 (or 111979 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1401210344430 its reverse (344430121041), we get a palindrome (1745640465471).

The spelling of 1401210344430 in words is "one trillion, four hundred one billion, two hundred ten million, three hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 829 845 1014 1170 1521 1658 1690 2487 2535 3042 4145 4974 5070 7461 7605 8290 10777 12435 14922 15210 21554 24870 32331 37305 53885 64662 74610 96993 107770 111127 140101 161655 193986 222254 280202 323310 333381 420303 484965 555635 666762 700505 840606 969930 1000143 1111270 1260909 1401010 1444651 1666905 2000286 2101515 2521818 2889302 3333810 4203030 4333953 5000715 6304545 7223255 8667906 10001430 12609090 13001859 14446510 18780463 21669765 26003718 37560926 43339530 56341389 65009295 92124283 93902315 112682778 130018590 169024167 184248566 187804630 276372849 281706945 338048334 460621415 552745698 563413890 829118547 845120835 921242830 1197615679 1381864245 1658237094 1690241670 2395231358 2763728490 3592847037 4145592735 5988078395 7185694074 8291185470 10778541111 11976156790 15569003827 17964235185 21557082222 31138007654 35928470370 46707011481 53892705555 77845019135 93414022962 107785411110 140121034443 155690038270 233535057405 280242068886 467070114810 700605172215 1401210344430