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40415550480 = 2433522981707
BaseRepresentation
bin100101101000111101…
…000101110000010000
310212022121222200121000
4211220331011300100
51130232340103410
630322221302000
72630351340144
oct455075056020
9125277880530
1040415550480
111615a585298
1279bb104900
133a711a9c16
141d5585d224
1510b821cdc0
hex968f45c10

40415550480 has 160 divisors (see below), whose sum is σ = 139818729600. Its totient is φ = 10730285568.

The previous prime is 40415550449. The next prime is 40415550493. The reversal of 40415550480 is 8405551404.

It is a happy number.

40415550480 is a `hidden beast` number, since 40 + 41 + 55 + 50 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453787 + ... + 535493.

It is an arithmetic number, because the mean of its divisors is an integer number (873867060).

Almost surely, 240415550480 is an apocalyptic number.

40415550480 is a gapful number since it is divisible by the number (40) 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 40415550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69909364800).

40415550480 is an abundant number, since it is smaller than the sum of its proper divisors (99403179120).

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

40415550480 is a wasteful number, since it uses less digits than its factorization.

40415550480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81958 (or 81946 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 40415550480 in words is "forty billion, four hundred fifteen million, five hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 9160 10305 10992 12366 13740 16488 18320 20610 24732 27480 30915 32976 41220 49464 54960 61830 81707 82440 98928 123660 163414 164880 245121 247320 326828 408535 490242 494640 653656 735363 817070 980484 1225605 1307312 1470726 1634140 1960968 2206089 2451210 2941452 3268280 3676815 3921936 4412178 4902420 5882904 6536560 7353630 8824356 9804840 11030445 11765808 14707260 17648712 18710903 19609680 22060890 29414520 35297424 37421806 44121780 56132709 58829040 74843612 88243560 93554515 112265418 149687224 168398127 176487120 187109030 224530836 280663545 299374448 336796254 374218060 449061672 505194381 561327090 673592508 748436120 841990635 898123344 1010388762 1122654180 1347185016 1496872240 1683981270 2020777524 2245308360 2525971905 2694370032 3367962540 4041555048 4490616720 5051943810 6735925080 8083110096 10103887620 13471850160 20207775240 40415550480