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4040502476032 = 281122314874327
BaseRepresentation
bin111010110011000000101…
…101101111110100000000
3112022021020120020122222001
4322303000231233310000
51012144422113213112
612332103050353344
7564626263242451
oct72630055576400
915267216218861
104040502476032
111318627348360
125530b012b854
1323402ccbc099
14dd7c0549128
1570181b48c57
hex3acc0b6fd00

4040502476032 has 144 divisors (see below), whose sum is σ = 8845865828352. Its totient is φ = 1826704373760.

The previous prime is 4040502475943. The next prime is 4040502476047. The reversal of 4040502476032 is 2306742050404.

It is a junction number, because it is equal to n+sod(n) for n = 4040502475982 and 4040502476000.

It is a congruent number.

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, 933786253 + ... + 933790579.

It is an arithmetic number, because the mean of its divisors is an integer number (61429623808).

Almost surely, 24040502476032 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 4040502476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422932914176).

4040502476032 is an abundant number, since it is smaller than the sum of its proper divisors (4805363352320).

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

4040502476032 is a wasteful number, since it uses less digits than its factorization.

4040502476032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6064 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 4040502476032 in words is "four trillion, forty billion, five hundred two million, four hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 223 256 352 446 704 892 1408 1487 1784 2453 2816 2974 3568 4327 4906 5948 7136 8654 9812 11896 14272 16357 17308 19624 23792 28544 32714 34616 39248 47584 47597 57088 65428 69232 78496 95168 95194 130856 138464 156992 190336 190388 261712 276928 313984 331601 380672 380776 523424 553856 627968 663202 761552 964921 1046848 1107712 1326404 1523104 1929842 2093696 2652808 3046208 3647611 3859684 4187392 5305616 6092416 6434249 7295222 7719368 10611232 10614131 12184832 12868498 14590444 15438736 21222464 21228262 25736996 29180888 30877472 42444928 42456524 51473992 58361776 61754944 70776739 84889856 84913048 102947984 116723552 123509888 141553478 169826096 205895968 233447104 247019776 283106956 339652192 411791936 466894208 566213912 679304384 823583872 933788416 1132427824 1358608768 1434837527 1647167744 2264855648 2717217536 2869675054 4529711296 5739350108 9059422592 11478700216 15783212797 18118845184 22957400432 31566425594 45914800864 63132851188 91829601728 126265702376 183659203456 252531404752 367318406912 505062809504 1010125619008 2020251238016 4040502476032