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5401505464440 = 2335401887126551
BaseRepresentation
bin100111010011010001011…
…0100001000000001111000
3201010101020012111000101020
41032212202310020001320
51201444240344330230
615253230052022440
71065150224620251
oct116464264100170
921111205430336
105401505464440
1117a2847021648
12732a21301a20
1330248a588b67
14149611871b28
159578b393810
hex4e9a2d08078

5401505464440 has 128 divisors (see below), whose sum is σ = 16263369630720. Its totient is φ = 1435178240000.

The previous prime is 5401505464409. The next prime is 5401505464457. The reversal of 5401505464440 is 444645051045.

It is a happy number.

It is a super-2 number, since 2×54015054644402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5401505464392 and 5401505464401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42619165 + ... + 42745715.

It is an arithmetic number, because the mean of its divisors is an integer number (127057575240).

Almost surely, 25401505464440 is an apocalyptic number.

It is an amenable number.

5401505464440 is an abundant number, since it is smaller than the sum of its proper divisors (10861864166280).

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

5401505464440 is a wasteful number, since it uses less digits than its factorization.

5401505464440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127853 (or 127849 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 5401505464440 in words is "five trillion, four hundred one billion, five hundred five million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 887 1203 1604 1774 2005 2406 2661 3208 3548 4010 4435 4812 5322 6015 7096 8020 8870 9624 10644 12030 13305 16040 17740 21288 24060 26610 35480 48120 53220 106440 126551 253102 355687 379653 506204 632755 711374 759306 1012408 1067061 1265510 1422748 1518612 1778435 1898265 2134122 2531020 2845496 3037224 3556870 3796530 4268244 5062040 5335305 7113740 7593060 8536488 10670610 14227480 15186120 21341220 42682440 50746951 101493902 112250737 152240853 202987804 224501474 253734755 304481706 336752211 405975608 449002948 507469510 561253685 608963412 673504422 761204265 898005896 1014939020 1122507370 1217926824 1347008844 1522408530 1683761055 2029878040 2245014740 2694017688 3044817060 3367522110 4490029480 6089634120 6735044220 13470088440 45012545537 90025091074 135037636611 180050182148 225062727685 270075273222 360100364296 450125455370 540150546444 675188183055 900250910740 1080301092888 1350376366110 1800501821480 2700752732220 5401505464440