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40508430440472 = 2334263719330587
BaseRepresentation
bin10010011010111100110101…
…00110110101100000011000
312022102120100011111110210000
421031132122212311200120
520302142231143043342
6222053152133053000
711350431445346631
oct1115363246654030
9168376304443700
1040508430440472
11119a858aa27245
12466297b487160
13197ac0c197547
14a00893212888
154a3ab5a2344c
hex24d79a9b5818

40508430440472 has 160 divisors (see below), whose sum is σ = 114051273177600. Its totient is φ = 13432719450816.

The previous prime is 40508430440389. The next prime is 40508430440563. The reversal of 40508430440472 is 27404403480504.

40508430440472 is a `hidden beast` number, since 4 + 0 + 508 + 4 + 30 + 4 + 40 + 4 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122369563 + ... + 122700149.

It is an arithmetic number, because the mean of its divisors is an integer number (712820457360).

Almost surely, 240508430440472 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 40508430440472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57025636588800).

40508430440472 is an abundant number, since it is smaller than the sum of its proper divisors (73542842737128).

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

40508430440472 is a wasteful number, since it uses less digits than its factorization.

40508430440472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331587 (or 331574 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 40508430440472 in words is "forty trillion, five hundred eight billion, four hundred thirty million, four hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 526 648 719 789 1052 1438 1578 2104 2157 2367 2876 3156 4314 4734 5752 6312 6471 7101 8628 9468 12942 14202 17256 18936 19413 21303 25884 28404 38826 42606 51768 56808 58239 77652 85212 116478 155304 170424 189097 232956 330587 378194 465912 567291 661174 756388 991761 1134582 1322348 1512776 1701873 1983522 2269164 2644696 2975283 3403746 3967044 4538328 5105619 5950566 6807492 7934088 8925849 10211238 11901132 13614984 15316857 17851698 20422476 23802264 26777547 30633714 35703396 40844952 53555094 61267428 71406792 86944381 107110188 122534856 173888762 214220376 237692053 260833143 347777524 475384106 521666286 695555048 713076159 782499429 950768212 1043332572 1426152318 1564998858 1901536424 2086665144 2139228477 2347498287 2852304636 3129997716 4278456954 4694996574 5704609272 6259995432 6417685431 7042494861 8556913908 9389993148 12835370862 14084989722 17113827816 18779986296 19253056293 25670741724 28169979444 38506112586 51341483448 56339958888 62513009939 77012225172 125026019878 154024450344 187539029817 250052039756 375078059634 500104079512 562617089451 750156119268 1125234178902 1500312238536 1687851268353 2250468357804 3375702536706 4500936715608 5063553805059 6751405073412 10127107610118 13502810146824 20254215220236 40508430440472