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5401035200040 = 23351012411849087
BaseRepresentation
bin100111010011000011011…
…0010001101011000101000
3201010100000102121002220020
41032212012302031120220
51201442310002400130
615253111252400440
71065132454501104
oct116460662153050
921110012532806
105401035200040
1117a2625624a87
1273290b916120
133024140155bc
141495a921a904
159575ee50e10
hex4e986c8d628

5401035200040 has 128 divisors (see below), whose sum is σ = 16431439749120. Its totient is φ = 1420098048000.

The previous prime is 5401035200023. The next prime is 5401035200069. The reversal of 5401035200040 is 400025301045.

It is a super-2 number, since 2×54010352000402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996377 + ... + 3845463.

It is an arithmetic number, because the mean of its divisors is an integer number (128370623040).

Almost surely, 25401035200040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401035200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215719874560).

5401035200040 is an abundant number, since it is smaller than the sum of its proper divisors (11030404549080).

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

5401035200040 is a wasteful number, since it uses less digits than its factorization.

5401035200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849443 (or 1849439 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 5401035200040 in words is "five trillion, four hundred one billion, thirty-five million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 241 303 404 482 505 606 723 808 964 1010 1205 1212 1446 1515 1928 2020 2410 2424 2892 3030 3615 4040 4820 5784 6060 7230 9640 12120 14460 24341 28920 48682 73023 97364 121705 146046 194728 243410 292092 365115 486820 584184 730230 973640 1460460 1849087 2920920 3698174 5547261 7396348 9245435 11094522 14792696 18490870 22189044 27736305 36981740 44378088 55472610 73963480 110945220 186757787 221890440 373515574 445629967 560273361 747031148 891259934 933788935 1120546722 1336889901 1494062296 1782519868 1867577870 2228149835 2241093444 2673779802 2801366805 3565039736 3735155740 4456299670 4482186888 5347559604 5602733610 6684449505 7470311480 8912599340 10695119208 11205467220 13368899010 17825198680 22410934440 26737798020 45008626667 53475596040 90017253334 135025880001 180034506668 225043133335 270051760002 360069013336 450086266670 540103520004 675129400005 900172533340 1080207040008 1350258800010 1800345066680 2700517600020 5401035200040