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1403140156240 = 245411229348077
BaseRepresentation
bin10100011010110001101…
…010111010101101010000
311222010202020202021000211
4110122301222322231100
5140442112334444430
62552332123053504
7203242056353344
oct24326152725520
94863666667024
101403140156240
114a1083047139
121a7b30971294
13a24143518a4
144bcab697624
1526773b8b72a
hex146b1abab50

1403140156240 has 80 divisors (see below), whose sum is σ = 3344597963280. Its totient is φ = 547119779840.

The previous prime is 1403140156213. The next prime is 1403140156247. The reversal of 1403140156240 is 426510413041.

It can be written as a sum of positive squares in 8 ways, for example, as 136894080064 + 1266246076176 = 369992^2 + 1125276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14031401562402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403140156247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3857082 + ... + 4205158.

It is an arithmetic number, because the mean of its divisors is an integer number (41807474541).

Almost surely, 21403140156240 is an apocalyptic number.

1403140156240 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 1403140156240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672298981640).

1403140156240 is an abundant number, since it is smaller than the sum of its proper divisors (1941457807040).

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

1403140156240 is a wasteful number, since it uses less digits than its factorization.

1403140156240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349360 (or 349354 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 1403140156240 its reverse (426510413041), we get a palindrome (1829650569281).

The spelling of 1403140156240 in words is "one trillion, four hundred three billion, one hundred forty million, one hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1229 1640 2458 3280 4916 6145 9832 12290 19664 24580 49160 50389 98320 100778 201556 251945 348077 403112 503890 696154 806224 1007780 1392308 1740385 2015560 2784616 3480770 4031120 5569232 6961540 13923080 14271157 27846160 28542314 57084628 71355785 114169256 142711570 228338512 285423140 427786633 570846280 855573266 1141692560 1711146532 2138933165 3422293064 4277866330 6844586128 8555732660 17111465320 17539251953 34222930640 35078503906 70157007812 87696259765 140314015624 175392519530 280628031248 350785039060 701570078120 1403140156240