Search a number
-
+
402211100420040 = 233595311173148667
BaseRepresentation
bin101101101110011110001000…
…1110000111110011111001000
31221202010000011010210102020110
41123130330101300332133020
5410204311313201420130
63543233121222354320
7150501536006252142
oct13334742160763710
91852100133712213
10402211100420040
1110717a85162453a
123913b25788b9a0
1314357461a88672
14714719a549c92
153177678d58ab0
hex16dcf11c3e7c8

402211100420040 has 128 divisors (see below), whose sum is σ = 1208981205394560. Its totient is φ = 107047792502784.

The previous prime is 402211100420029. The next prime is 402211100420081. The reversal of 402211100420040 is 40024001112204.

It is a junction number, because it is equal to n+sod(n) for n = 402211100419989 and 402211100420016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126165787 + ... + 129314453.

It is an arithmetic number, because the mean of its divisors is an integer number (9445165667145).

Almost surely, 2402211100420040 is an apocalyptic number.

402211100420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402211100420040 is an abundant number, since it is smaller than the sum of its proper divisors (806770104974520).

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

402211100420040 is a wasteful number, since it uses less digits than its factorization.

402211100420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150751 (or 3150747 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 402211100420040 its reverse (40024001112204), we get a palindrome (442235101532244).

The spelling of 402211100420040 in words is "four hundred two trillion, two hundred eleven billion, one hundred million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 953 1117 1906 2234 2859 3351 3812 4468 4765 5585 5718 6702 7624 8936 9530 11170 11436 13404 14295 16755 19060 22340 22872 26808 28590 33510 38120 44680 57180 67020 114360 134040 1064501 2129002 3148667 3193503 4258004 5322505 6297334 6387006 8516008 9446001 10645010 12594668 12774012 15743335 15967515 18892002 21290020 25189336 25548024 31486670 31935030 37784004 42580040 47230005 62973340 63870060 75568008 94460010 125946680 127740120 188920020 377840040 3000679651 3517061039 6001359302 7034122078 9002038953 10551183117 12002718604 14068244156 15003398255 17585305195 18004077906 21102366234 24005437208 28136488312 30006796510 35170610390 36008155812 42204732468 45010194765 52755915585 60013593020 70341220780 72016311624 84409464936 90020389530 105511831170 120027186040 140682441560 180040779060 211023662340 360081558120 422047324680 3351759170167 6703518340334 10055277510501 13407036680668 16758795850835 20110555021002 26814073361336 33517591701670 40221110042004 50276387552505 67035183403340 80442220084008 100552775105010 134070366806680 201105550210020 402211100420040