Search a number
-
+
40030321253440 = 265743889407179
BaseRepresentation
bin10010001101000010010010…
…00101000001110001000000
312020201212020220201021120011
421012201021011001301000
520221324044220102230
6221045401541554304
711301044451331360
oct1106411105016100
9166655226637504
1040030321253440
1111833844839611
1245a6189715994
131944ac638c44b
149c569946a9a0
15496431b51e2a
hex246849141c40

40030321253440 has 112 divisors (see below), whose sum is σ = 108942409699200. Its totient is φ = 13724335153152.

The previous prime is 40030321253423. The next prime is 40030321253471. The reversal of 40030321253440 is 4435212303004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×400303212534402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98107771 + ... + 98514949.

It is an arithmetic number, because the mean of its divisors is an integer number (972700086600).

Almost surely, 240030321253440 is an apocalyptic number.

40030321253440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40030321253440 is an abundant number, since it is smaller than the sum of its proper divisors (68912088445760).

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

40030321253440 is a wasteful number, since it uses less digits than its factorization.

40030321253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451092 (or 451082 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 40030321253440 its reverse (4435212303004), we get a palindrome (44465533556444).

The spelling of 40030321253440 in words is "forty trillion, thirty billion, three hundred twenty-one million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 43889 87778 175556 219445 307223 351112 407179 438890 614446 702224 814358 877780 1228892 1404448 1536115 1628716 1755560 2035895 2457784 2808896 2850253 3072230 3257432 3511120 4071790 4915568 5700506 6144460 6514864 7022240 8143580 9831136 11401012 12288920 13029728 14044480 14251265 16287160 19662272 22802024 24577840 26059456 28502530 32574320 45604048 49155680 57005060 65148640 91208096 98311360 114010120 130297280 182416192 228020240 456040480 912080960 17870679131 35741358262 71482716524 89353395655 125094753917 142965433048 178706791310 250189507834 285930866096 357413582620 500379015668 571861732192 625473769585 714827165240 1000758031336 1143723464384 1250947539170 1429654330480 2001516062672 2501895078340 2859308660960 4003032125344 5003790156680 5718617321920 8006064250688 10007580313360 20015160626720 40030321253440