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4225021235424 = 2532117118783883
BaseRepresentation
bin111101011110110110111…
…000111101000011100000
3112221220111222211211202200
4331132312320331003200
51023210320414013144
612552540432013200
7614150651644263
oct75366670750340
915856458754680
104225021235424
111389904383330
12582a07091200
13248557b77952
141086c6534cda
1574d80de8c69
hex3d7b6e3d0e0

4225021235424 has 144 divisors (see below), whose sum is σ = 13291776860544. Its totient is φ = 1262276870400.

The previous prime is 4225021235399. The next prime is 4225021235429. The reversal of 4225021235424 is 4245321205224.

4225021235424 is a `hidden beast` number, since 4 + 2 + 2 + 502 + 123 + 5 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225021235429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9167014 + ... + 9616869.

It is an arithmetic number, because the mean of its divisors is an integer number (92304005976).

Almost surely, 24225021235424 is an apocalyptic number.

4225021235424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4225021235424 is an abundant number, since it is smaller than the sum of its proper divisors (9066755625120).

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

4225021235424 is a wasteful number, since it uses less digits than its factorization.

4225021235424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18783981 (or 18783970 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4225021235424 in words is "four trillion, two hundred twenty-five billion, twenty-one million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 71 72 88 96 99 132 142 144 176 198 213 264 284 288 352 396 426 528 568 639 781 792 852 1056 1136 1278 1562 1584 1704 2272 2343 2556 3124 3168 3408 4686 5112 6248 6816 7029 9372 10224 12496 14058 18744 20448 24992 28116 37488 56232 74976 112464 224928 18783883 37567766 56351649 75135532 112703298 150271064 169054947 206622713 225406596 300542128 338109894 413245426 450813192 601084256 619868139 676219788 826490852 901626384 1239736278 1333655693 1352439576 1652981704 1803252768 1859604417 2479472556 2667311386 2704879152 3305963408 3719208834 4000967079 4958945112 5334622772 5409758304 6611926816 7438417668 8001934158 9917890224 10669245544 12002901237 14670212623 14876835336 16003868316 19835780448 21338491088 24005802474 29340425246 29753670672 32007736632 42676982176 44010637869 48011604948 58680850492 59507341344 64015473264 88021275738 96023209896 117361700984 128030946528 132031913607 176042551476 192046419792 234723401968 264063827214 352085102952 384092839584 469446803936 528127654428 704170205904 1056255308856 1408340411808 2112510617712 4225021235424