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402434130021 = 3731123678807
BaseRepresentation
bin1011101101100101111…
…00011000000001100101
31102110202022210222122120
411312302330120001211
523043141114130041
6504513052020153
741034456444000
oct5666274300145
91373668728576
10402434130021
11145742636300
1265bb2461659
132bc45a16a71
1415699588537
15a705462366
hex5db2f18065

402434130021 has 96 divisors (see below), whose sum is σ = 689758003200. Its totient is φ = 208463381280.

The previous prime is 402434130019. The next prime is 402434130041. The reversal of 402434130021 is 120031434204.

It is not a de Polignac number, because 402434130021 - 21 = 402434130019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402434129973 and 402434130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402434130041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45690400 + ... + 45699206.

It is an arithmetic number, because the mean of its divisors is an integer number (7184979200).

Almost surely, 2402434130021 is an apocalyptic number.

It is an amenable number.

402434130021 is a deficient number, since it is larger than the sum of its proper divisors (287323873179).

402434130021 is a wasteful number, since it uses less digits than its factorization.

402434130021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9195 counting only the distinct ones).

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

Adding to 402434130021 its reverse (120031434204), we get a palindrome (522465564225).

The spelling of 402434130021 in words is "four hundred two billion, four hundred thirty-four million, one hundred thirty thousand, twenty-one".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 343 363 367 539 847 1029 1101 1617 2541 2569 3773 4037 5929 7707 8807 11319 12111 17787 17983 26421 28259 41503 44407 53949 61649 84777 96877 124509 125881 133221 184947 197813 290631 310849 377643 431543 593439 678139 932547 1065647 1294629 1384691 2034417 2175943 3020801 3196941 3232169 4154073 4746973 6527829 7459529 9062403 9696507 14240919 15231601 22378587 22625183 33228811 35553859 45694803 52216703 67875549 99686433 106661577 156650109 158376281 248877013 365516921 391092449 475128843 746631039 1096550763 1108633967 1173277347 1742139091 2737647143 3325901901 5226417273 8212941429 12194973637 19163530001 36584920911 57490590003 134144710007 402434130021