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40221233434000 = 24531011911042487
BaseRepresentation
bin10010010010100101111000…
…10101001100110110010000
312021102010000220122220102101
421021102330111030312100
520232441041224342000
6221313213552330144
711320613442153103
oct1111227425146620
9167363026586371
1040221233434000
11118a7802787533
124617189843954
131959acc990a68
149d0a0a5d673a
1549b3a734de6a
hex2494bc54cd90

40221233434000 has 160 divisors (see below), whose sum is σ = 98732187021312. Its totient is φ = 15845787200000.

The previous prime is 40221233433967. The next prime is 40221233434001. The reversal of 40221233434000 is 43433212204.

It is a self number, because there is not a number n which added to its sum of digits gives 40221233434000.

It is not an unprimeable number, because it can be changed into a prime (40221233434001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38060757 + ... + 39103243.

Almost surely, 240221233434000 is an apocalyptic number.

40221233434000 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 40221233434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49366093510656).

40221233434000 is an abundant number, since it is smaller than the sum of its proper divisors (58510953587312).

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

40221233434000 is a wasteful number, since it uses less digits than its factorization.

40221233434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042802 (or 1042786 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40221233434000 its reverse (43433212204), we get a palindrome (40264666646204).

The spelling of 40221233434000 in words is "forty trillion, two hundred twenty-one billion, two hundred thirty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 191 200 202 250 382 400 404 500 505 764 808 955 1000 1010 1528 1616 1910 2000 2020 2525 3056 3820 4040 4775 5050 7640 8080 9550 10100 12625 15280 19100 19291 20200 23875 25250 38200 38582 40400 47750 50500 76400 77164 95500 96455 101000 154328 191000 192910 202000 308656 382000 385820 482275 771640 964550 1042487 1543280 1929100 2084974 2411375 3858200 4169948 4822750 5212435 7716400 8339896 9645500 10424870 16679792 19291000 20849740 26062175 38582000 41699480 52124350 83398960 104248700 105291187 130310875 199115017 208497400 210582374 260621750 398230034 416994800 421164748 521243500 526455935 796460068 842329496 995575085 1042487000 1052911870 1592920136 1684658992 1991150170 2084974000 2105823740 2632279675 3185840272 3982300340 4211647480 4977875425 5264559350 7964600680 8423294960 9955750850 10529118700 13161398375 15929201360 19911501700 20110616717 21058237400 24889377125 26322796750 39823003400 40221233434 42116474800 49778754250 52645593500 79646006800 80442466868 99557508500 100553083585 105291187000 160884933736 199115017000 201106167170 210582374000 321769867472 398230034000 402212334340 502765417925 804424668680 1005530835850 1608849337360 2011061671700 2513827089625 4022123343400 5027654179250 8044246686800 10055308358500 20110616717000 40221233434000