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40202042420 = 225411312711381
BaseRepresentation
bin100101011100001110…
…100111110000110100
310211202202020100121002
4211130032213300310
51124313210324140
630245113142432
72622146502521
oct453416476064
9124682210532
1040202042420
1116060006551
12795b6baa18
133a38ba33a7
141d35362148
1510a45e6415
hex95c3a7c34

40202042420 has 96 divisors (see below), whose sum is σ = 87528494592. Its totient is φ = 15500160000.

The previous prime is 40202042407. The next prime is 40202042423. The reversal of 40202042420 is 2424020204.

40202042420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40202042392 and 40202042401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40202042423) 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, 29110130 + ... + 29111510.

It is an arithmetic number, because the mean of its divisors is an integer number (911755152).

Almost surely, 240202042420 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 40202042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43764247296).

40202042420 is an abundant number, since it is smaller than the sum of its proper divisors (47326452172).

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

40202042420 is a wasteful number, since it uses less digits than its factorization.

40202042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40202042420 its reverse (2424020204), we get a palindrome (42626062624).

The spelling of 40202042420 in words is "forty billion, two hundred two million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 271 410 524 542 655 820 1084 1310 1355 1381 2620 2710 2762 5371 5420 5524 6905 10742 11111 13810 21484 22222 26855 27620 35501 44444 53710 55555 56621 71002 107420 111110 113242 142004 177505 180911 222220 226484 283105 355010 361822 374251 566210 710020 723644 748502 904555 1132420 1455541 1497004 1809110 1871255 2911082 3618220 3742510 5822164 7277705 7417351 7485020 14555410 14834702 15344291 29110820 29669404 30688582 37086755 49026881 61377164 74173510 76721455 98053762 148347020 153442910 196107524 245134405 306885820 490268810 980537620 2010102121 4020204242 8040408484 10050510605 20101021210 40202042420