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1041402113040 = 243567162139953
BaseRepresentation
bin11110010011110000110…
…01110010110000010000
310200120001002210200111010
433021320121302300100
5114030242420104130
62114225153250520
7135144625622652
oct17117031626020
93616032720433
101041402113040
11371724386243
121499b7563a40
1377285989593
1438592d166d2
151c1513ae0b0
hexf278672c10

1041402113040 has 160 divisors (see below), whose sum is σ = 3278634189696. Its totient is φ = 273386741760.

The previous prime is 1041402113027. The next prime is 1041402113047. The reversal of 1041402113040 is 403112041401.

It is a super-2 number, since 2×10414021130402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1041402112998 and 1041402113016.

It is not an unprimeable number, because it can be changed into a prime (1041402113047) 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, 26045704 + ... + 26085656.

Almost surely, 21041402113040 is an apocalyptic number.

1041402113040 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 1041402113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639317094848).

1041402113040 is an abundant number, since it is smaller than the sum of its proper divisors (2237232076656).

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

1041402113040 is a wasteful number, since it uses less digits than its factorization.

1041402113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41657 (or 41651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1041402113040 its reverse (403112041401), we get a palindrome (1444514154441).

The spelling of 1041402113040 in words is "one trillion, forty-one billion, four hundred two million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 1621 2010 2680 3216 3242 4020 4863 5360 6484 8040 8105 9726 12968 16080 16210 19452 24315 25936 32420 38904 39953 48630 64840 77808 79906 97260 108607 119859 129680 159812 194520 199765 217214 239718 319624 325821 389040 399530 434428 479436 543035 599295 639248 651642 799060 868856 958872 1086070 1198590 1303284 1598120 1629105 1737712 1917744 2172140 2397180 2606568 2676851 3196240 3258210 4344280 4794360 5213136 5353702 6516420 8030553 8688560 9588720 10707404 13032840 13384255 16061106 21414808 26065680 26768510 32122212 40152765 42829616 53537020 64244424 64763813 80305530 107074040 128488848 129527626 160611060 194291439 214148080 259055252 321222120 323819065 388582878 518110504 642444240 647638130 777165756 971457195 1036221008 1295276260 1554331512 1942914390 2590552520 3108663024 3885828780 4339175471 5181105040 7771657560 8678350942 13017526413 15543315120 17356701884 21695877355 26035052826 34713403768 43391754710 52070105652 65087632065 69426807536 86783509420 104140211304 130175264130 173567018840 208280422608 260350528260 347134037680 520701056520 1041402113040