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1401059109540 = 2235375507114601
BaseRepresentation
bin10100011000110101101…
…000010110101010100100
311221221101012220010122010
4110120311220112222210
5140423332113001130
62551345423034220
7203136356635656
oct24306550265244
94857335803563
101401059109540
114a0205383a32
121a764ba3b970
13a217216b8cc
144bb511426d6
15266a111a0b0
hex14635a16aa4

1401059109540 has 96 divisors (see below), whose sum is σ = 4029758377344. Its totient is φ = 363448857600.

The previous prime is 1401059109509. The next prime is 1401059109547. The reversal of 1401059109540 is 459019501041.

It is not an unprimeable number, because it can be changed into a prime (1401059109547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12168240 + ... + 12282840.

It is an arithmetic number, because the mean of its divisors is an integer number (41976649764).

Almost surely, 21401059109540 is an apocalyptic number.

1401059109540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401059109540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014879188672).

1401059109540 is an abundant number, since it is smaller than the sum of its proper divisors (2628699267804).

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

1401059109540 is a wasteful number, since it uses less digits than its factorization.

1401059109540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120157 (or 120155 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 1401059109540 in words is "one trillion, four hundred one billion, fifty-nine million, one hundred nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5507 11014 16521 22028 27535 33042 55070 66084 82605 110140 114601 165210 203759 229202 330420 343803 407518 458404 573005 611277 687606 815036 1018795 1146010 1222554 1375212 1719015 2037590 2292020 2445108 3056385 3438030 4075180 4240237 6112770 6876060 8480474 12225540 12720711 16960948 21201185 25441422 42402370 50882844 63603555 84804740 127207110 254414220 631107707 1262215414 1893323121 2524430828 3155538535 3786646242 6311077070 7573292484 9466615605 12622154140 18933231210 23350985159 37866462420 46701970318 70052955477 93403940636 116754925795 140105910954 233509851590 280211821908 350264777385 467019703180 700529554770 1401059109540