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40403130144 = 2531325942209
BaseRepresentation
bin100101101000001101…
…101101011100100000
310212021202121200002120
4211220031231130200
51130221200131034
630321055144240
72630140640226
oct455015553440
9125252550076
1040403130144
1116153571753
1279b6b15080
133a6b74b800
141d53d48b16
1510b70b7c49
hex96836d720

40403130144 has 144 divisors (see below), whose sum is σ = 116793381600. Its totient is φ = 12220735488.

The previous prime is 40403130143. The next prime is 40403130151. The reversal of 40403130144 is 44103130404.

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

It is not an unprimeable number, because it can be changed into a prime (40403130143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936112 + ... + 978320.

It is an arithmetic number, because the mean of its divisors is an integer number (811065150).

Almost surely, 240403130144 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 40403130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58396690800).

40403130144 is an abundant number, since it is smaller than the sum of its proper divisors (76390251456).

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

40403130144 is a wasteful number, since it uses less digits than its factorization.

40403130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42307 (or 42286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40403130144 its reverse (44103130404), we get a palindrome (84506260548).

The spelling of 40403130144 in words is "forty billion, four hundred three million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 169 177 208 236 312 338 354 416 472 507 624 676 708 767 944 1014 1248 1352 1416 1534 1888 2028 2301 2704 2832 3068 4056 4602 5408 5664 6136 8112 9204 9971 12272 16224 18408 19942 24544 29913 36816 39884 42209 59826 73632 79768 84418 119652 126627 159536 168836 239304 253254 319072 337672 478608 506508 548717 675344 957216 1013016 1097434 1350688 1646151 2026032 2194868 2490331 3292302 4052064 4389736 4980662 6584604 7133321 7470993 8779472 9961324 13169208 14266642 14941986 17558944 19922648 21399963 26338416 28533284 29883972 32374303 39845296 42799926 52676832 57066568 59767944 64748606 79690592 85599852 97122909 114133136 119535888 129497212 171199704 194245818 228266272 239071776 258994424 342399408 388491636 420865939 517988848 684798816 776983272 841731878 1035977696 1262597817 1553966544 1683463756 2525195634 3107933088 3366927512 5050391268 6733855024 10100782536 13467710048 20201565072 40403130144